diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/README.md b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/README.md
new file mode 100644
index 000000000000..d1ac38f4ae5e
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/README.md
@@ -0,0 +1,265 @@
+
+
+# Mode
+
+> [Burr (type III)][burr-distribution] distribution [mode][mode].
+
+
+
+
+
+The [mode][mode] of a [Burr (type III)][burr-distribution] random variable with first shape parameter `c > 0` and second shape parameter `d > 0` such that `c * d > 1` is
+
+
+
+```math
+\operatorname{mode}\left( X \right) = \left( \frac{cd - 1}{c + 1} \right)^{\frac{1}{c}}
+```
+
+
+
+For `c * d <= 1`, the [mode][mode] is `0`.
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var mode = require( '@stdlib/stats/base/dists/burr-type3/mode' );
+```
+
+#### mode( c, d )
+
+Returns the [mode][mode] of a [Burr (type III)][burr-distribution] distribution with first shape parameter `c` and second shape parameter `d`.
+
+```javascript
+var y = mode( 2.0, 1.0 );
+// returns ~0.577
+
+y = mode( 4.0, 12.0 );
+// returns ~1.751
+
+y = mode( 8.0, 2.0 );
+// returns ~1.066
+```
+
+If provided `NaN` as any argument, the function returns `NaN`.
+
+```javascript
+var y = mode( NaN, 2.0 );
+// returns NaN
+
+y = mode( 2.0, NaN );
+// returns NaN
+```
+
+If provided `c <= 0` or `d <= 0`, the function returns `NaN`.
+
+```javascript
+var y = mode( 0.0, 2.0 );
+// returns NaN
+
+y = mode( -1.0, 2.0 );
+// returns NaN
+
+y = mode( 2.0, 0.0 );
+// returns NaN
+
+y = mode( 2.0, -1.0 );
+// returns NaN
+```
+
+If provided `c` and `d` such that `c * d <= 1`, the function returns `0.0`.
+
+```javascript
+var y = mode( 1.0, 1.0 );
+// returns 0.0
+
+y = mode( 0.5, 2.0 );
+// returns 0.0
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var mode = require( '@stdlib/stats/base/dists/burr-type3/mode' );
+
+var opts = {
+ 'dtype': 'float64'
+};
+var c = uniform( 10, 1.1, 10.0, opts );
+var d = uniform( 10, 0.1, 10.0, opts );
+
+logEachMap( 'c: %0.4f, d: %0.4f, mode(X;c,d): %0.4f', c, d, mode );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/stats/base/dists/burr-type3/mode.h"
+```
+
+#### stdlib_base_dists_burr_type3_mode( c, d )
+
+Returns the mode of a Burr (type III) distribution with first shape parameter `c` and second shape parameter `d`.
+
+```c
+double out = stdlib_base_dists_burr_type3_mode( 2.0, 1.0 );
+// returns ~0.577
+```
+
+The function accepts the following arguments:
+
+- **c**: `[in] double` first shape parameter.
+- **d**: `[in] double` second shape parameter.
+
+```c
+double stdlib_base_dists_burr_type3_mode( const double c, const double d );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/stats/base/dists/burr-type3/mode.h"
+#include
+#include
+
+static double random_uniform( const double min, const double max ) {
+ double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
+ return min + ( v*(max-min) );
+}
+
+int main( void ) {
+ double c;
+ double d;
+ double v;
+ int i;
+
+ for ( i = 0; i < 25; i++ ) {
+ c = random_uniform( 1.1, 10.0 );
+ d = random_uniform( 0.1, 10.0 );
+ v = stdlib_base_dists_burr_type3_mode( c, d );
+ printf( "c: %lf, d: %lf, mode(X;c,d): %lf\n", c, d, v );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[burr-distribution]: https://en.wikipedia.org/wiki/Burr_distribution
+
+[mode]: https://en.wikipedia.org/wiki/Mode_%28statistics%29
+
+
+
+
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/benchmark.js
new file mode 100644
index 000000000000..708f5e57ef54
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/benchmark.js
@@ -0,0 +1,59 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var pkg = require( './../package.json' ).name;
+var mode = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var opts;
+ var c;
+ var d;
+ var y;
+ var i;
+
+ opts = {
+ 'dtype': 'float64'
+ };
+ c = uniform( 100, 1.1, 10.0, opts );
+ d = uniform( 100, EPS, 10.0, opts );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = mode( c[ i % c.length ], d[ i % d.length ] );
+ if ( isnan( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..03ddc9c5d988
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/benchmark.native.js
@@ -0,0 +1,69 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var format = require( '@stdlib/string/format' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var mode = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( mode instanceof Error )
+};
+
+
+// MAIN //
+
+bench( format( '%s::native', pkg ), opts, function benchmark( b ) {
+ var arrayOpts;
+ var c;
+ var d;
+ var y;
+ var i;
+
+ arrayOpts = {
+ 'dtype': 'float64'
+ };
+ c = uniform( 100, 1.1, 10.0, arrayOpts );
+ d = uniform( 100, EPS, 10.0, arrayOpts );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = mode( c[ i % c.length ], d[ i % d.length ] );
+ if ( isnan( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnan( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/c/Makefile
new file mode 100644
index 000000000000..979768abbcec
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+ CC := $(C_COMPILER)
+else
+ CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+ -std=c99 \
+ -O3 \
+ -Wall \
+ -pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+ fPIC ?=
+else
+ fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := benchmark.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+ $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled benchmarks.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..f0dc37761244
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/benchmark/c/benchmark.c
@@ -0,0 +1,140 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+#include "stdlib/stats/base/dists/burr-type3/mode.h"
+#include "stdlib/constants/float64/eps.h"
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "burr-type3-mode"
+#define ITERATIONS 1000000
+#define REPEATS 3
+
+/**
+* Prints the TAP version.
+*/
+static void print_version( void ) {
+ printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total total number of tests
+* @param passing total number of passing tests
+*/
+static void print_summary( int total, int passing ) {
+ printf( "#\n" );
+ printf( "1..%d\n", total );
+ printf( "# total %d\n", total );
+ printf( "# pass %d\n", passing );
+ printf( "#\n" );
+ printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param elapsed elapsed time in seconds
+*/
+static void print_results( double elapsed ) {
+ double rate = (double)ITERATIONS / elapsed;
+ printf( " ---\n" );
+ printf( " iterations: %d\n", ITERATIONS );
+ printf( " elapsed: %0.9f\n", elapsed );
+ printf( " rate: %0.9f\n", rate );
+ printf( " ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+static double tic( void ) {
+ struct timeval now;
+ gettimeofday( &now, NULL );
+ return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random number on the interval [min,max).
+*
+* @param min minimum value (inclusive)
+* @param max maximum value (exclusive)
+* @return random number
+*/
+static double random_uniform( const double min, const double max ) {
+ double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
+ return min + ( v*(max-min) );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+ double c[ 100 ];
+ double d[ 100 ];
+ double elapsed;
+ double y;
+ double t;
+ int i;
+
+ for ( i = 0; i < 100; i++ ) {
+ c[ i ] = random_uniform( 1.1, 10.0 );
+ d[ i ] = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 10.0 );
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ y = stdlib_base_dists_burr_type3_mode( c[ i % 100 ], d[ i % 100 ] );
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ }
+ return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+ double elapsed;
+ int i;
+
+ srand( time( NULL ) );
+
+ print_version();
+ for ( i = 0; i < REPEATS; i++ ) {
+ printf( "# c::%s\n", NAME );
+ elapsed = benchmark();
+ print_results( elapsed );
+ printf( "ok %d benchmark finished\n", i+1 );
+ }
+ print_summary( REPEATS, REPEATS );
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/binding.gyp b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/binding.gyp
new file mode 100644
index 000000000000..0d6508a12e99
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/binding.gyp
@@ -0,0 +1,170 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+# A `.gyp` file for building a Node.js native add-on.
+#
+# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md
+# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md
+{
+ # List of files to include in this file:
+ 'includes': [
+ './include.gypi',
+ ],
+
+ # Define variables to be used throughout the configuration for all targets:
+ 'variables': {
+ # Target name should match the add-on export name:
+ 'addon_target_name%': 'addon',
+
+ # Set variables based on the host OS:
+ 'conditions': [
+ [
+ 'OS=="win"',
+ {
+ # Define the object file suffix:
+ 'obj': 'obj',
+ },
+ {
+ # Define the object file suffix:
+ 'obj': 'o',
+ }
+ ], # end condition (OS=="win")
+ ], # end conditions
+ }, # end variables
+
+ # Define compile targets:
+ 'targets': [
+
+ # Target to generate an add-on:
+ {
+ # The target name should match the add-on export name:
+ 'target_name': '<(addon_target_name)',
+
+ # Define dependencies:
+ 'dependencies': [],
+
+ # Define directories which contain relevant include headers:
+ 'include_dirs': [
+ # Local include directory:
+ '<@(include_dirs)',
+ ],
+
+ # List of source files:
+ 'sources': [
+ '<@(src_files)',
+ ],
+
+ # Settings which should be applied when a target's object files are used as linker input:
+ 'link_settings': {
+ # Define libraries:
+ 'libraries': [
+ '<@(libraries)',
+ ],
+
+ # Define library directories:
+ 'library_dirs': [
+ '<@(library_dirs)',
+ ],
+ },
+
+ # C/C++ compiler flags:
+ 'cflags': [
+ # Enable commonly used warning options:
+ '-Wall',
+
+ # Aggressive optimization:
+ '-O3',
+ ],
+
+ # C specific compiler flags:
+ 'cflags_c': [
+ # Specify the C standard to which a program is expected to conform:
+ '-std=c99',
+ ],
+
+ # C++ specific compiler flags:
+ 'cflags_cpp': [
+ # Specify the C++ standard to which a program is expected to conform:
+ '-std=c++11',
+ ],
+
+ # Linker flags:
+ 'ldflags': [],
+
+ # Apply conditions based on the host OS:
+ 'conditions': [
+ [
+ 'OS=="mac"',
+ {
+ # Linker flags:
+ 'ldflags': [
+ '-undefined dynamic_lookup',
+ '-Wl,-no-pie',
+ '-Wl,-search_paths_first',
+ ],
+ },
+ ], # end condition (OS=="mac")
+ [
+ 'OS!="win"',
+ {
+ # C/C++ flags:
+ 'cflags': [
+ # Generate platform-independent code:
+ '-fPIC',
+ ],
+ },
+ ], # end condition (OS!="win")
+ ], # end conditions
+ }, # end target <(addon_target_name)
+
+ # Target to copy a generated add-on to a standard location:
+ {
+ 'target_name': 'copy_addon',
+
+ # Declare that the output of this target is not linked:
+ 'type': 'none',
+
+ # Define dependencies:
+ 'dependencies': [
+ # Require that the add-on be generated before building this target:
+ '<(addon_target_name)',
+ ],
+
+ # Define a list of actions:
+ 'actions': [
+ {
+ 'action_name': 'copy_addon',
+ 'message': 'Copying addon...',
+
+ # Explicitly list the inputs in the command-line invocation below:
+ 'inputs': [],
+
+ # Declare the expected outputs:
+ 'outputs': [
+ '<(addon_output_dir)/<(addon_target_name).node',
+ ],
+
+ # Define the command-line invocation:
+ 'action': [
+ 'cp',
+ '<(PRODUCT_DIR)/<(addon_target_name).node',
+ '<(addon_output_dir)/<(addon_target_name).node',
+ ],
+ },
+ ], # end actions
+ }, # end target copy_addon
+ ], # end targets
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/docs/repl.txt
new file mode 100644
index 000000000000..eb36aabf9e6a
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/docs/repl.txt
@@ -0,0 +1,46 @@
+
+{{alias}}( c, d )
+ Returns the mode of a Burr (type III) distribution with first shape
+ parameter `c` and second shape parameter `d`.
+
+ If provided `NaN` as any argument, the function returns `NaN`.
+
+ If `c <= 0` or `d <= 0`, the function returns `NaN`.
+
+ If provided `c` and `d` such that `c * d <= 1`, the function returns `0.0`.
+
+ Parameters
+ ----------
+ c: number
+ First shape parameter.
+
+ d: number
+ Second shape parameter.
+
+ Returns
+ -------
+ out: number
+ Mode.
+
+ Examples
+ --------
+ > var y = {{alias}}( 2.0, 1.0 )
+ ~0.577
+ > y = {{alias}}( 4.0, 12.0 )
+ ~1.751
+ > y = {{alias}}( 8.0, 2.0 )
+ ~1.066
+ > y = {{alias}}( 1.0, 1.0 )
+ 0.0
+ > y = {{alias}}( NaN, 2.0 )
+ NaN
+ > y = {{alias}}( 2.0, NaN )
+ NaN
+ > y = {{alias}}( -1.0, 2.0 )
+ NaN
+ > y = {{alias}}( 2.0, -1.0 )
+ NaN
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/docs/types/index.d.ts
new file mode 100644
index 000000000000..7b91fcd58394
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/docs/types/index.d.ts
@@ -0,0 +1,66 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/**
+* Returns the mode of a Burr (type III) distribution with first shape parameter `c` and second shape parameter `d`.
+*
+* ## Notes
+*
+* - If provided `c <= 0` or `d <= 0`, the function returns `NaN`.
+* - If provided `c` and `d` such that `c * d <= 1`, the function returns `0.0`.
+*
+* @param c - first shape parameter
+* @param d - second shape parameter
+* @returns mode
+*
+* @example
+* var y = mode( 2.0, 1.0 );
+* // returns ~0.577
+*
+* @example
+* var y = mode( 4.0, 12.0 );
+* // returns ~1.751
+*
+* @example
+* var y = mode( 1.0, 1.0 );
+* // returns 0.0
+*
+* @example
+* var y = mode( NaN, 2.0 );
+* // returns NaN
+*
+* @example
+* var y = mode( 2.0, NaN );
+* // returns NaN
+*
+* @example
+* var y = mode( -1.0, 2.0 );
+* // returns NaN
+*
+* @example
+* var y = mode( 2.0, -1.0 );
+* // returns NaN
+*/
+declare function mode( c: number, d: number ): number;
+
+
+// EXPORTS //
+
+export = mode;
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/docs/types/test.ts b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/docs/types/test.ts
new file mode 100644
index 000000000000..6cced5a065fc
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/docs/types/test.ts
@@ -0,0 +1,56 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import mode = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ mode( 2.0, 1.0 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided values other than two numbers...
+{
+ mode( true, 3 ); // $ExpectError
+ mode( false, 2 ); // $ExpectError
+ mode( '5', 1 ); // $ExpectError
+ mode( [], 1 ); // $ExpectError
+ mode( {}, 2 ); // $ExpectError
+ mode( ( x: number ): number => x, 2 ); // $ExpectError
+
+ mode( 9, true ); // $ExpectError
+ mode( 9, false ); // $ExpectError
+ mode( 5, '5' ); // $ExpectError
+ mode( 8, [] ); // $ExpectError
+ mode( 9, {} ); // $ExpectError
+ mode( 8, ( x: number ): number => x ); // $ExpectError
+
+ mode( [], true ); // $ExpectError
+ mode( {}, false ); // $ExpectError
+ mode( false, '5' ); // $ExpectError
+ mode( {}, [] ); // $ExpectError
+ mode( '5', ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ mode(); // $ExpectError
+ mode( 3 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/examples/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/examples/c/Makefile
new file mode 100644
index 000000000000..c8f8e9a1517b
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+ CC := $(C_COMPILER)
+else
+ CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+ -std=c99 \
+ -O3 \
+ -Wall \
+ -pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+ fPIC ?=
+else
+ fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := example.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+ $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled examples.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/examples/c/example.c
new file mode 100644
index 000000000000..a472236ff3ca
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/examples/c/example.c
@@ -0,0 +1,40 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+#include "stdlib/stats/base/dists/burr-type3/mode.h"
+#include
+#include
+
+static double random_uniform( const double min, const double max ) {
+ double v = (double)rand() / ( (double)RAND_MAX + 1.0 );
+ return min + ( v*(max-min) );
+}
+
+int main( void ) {
+ double c;
+ double d;
+ double v;
+ int i;
+
+ for ( i = 0; i < 25; i++ ) {
+ c = random_uniform( 1.1, 10.0 );
+ d = random_uniform( 0.1, 10.0 );
+ v = stdlib_base_dists_burr_type3_mode( c, d );
+ printf( "c: %lf, d: %lf, mode(X;c,d): %lf\n", c, d, v );
+ }
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/examples/index.js
new file mode 100644
index 000000000000..9834e5e84de8
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/examples/index.js
@@ -0,0 +1,31 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var uniform = require( '@stdlib/random/array/uniform' );
+var logEachMap = require( '@stdlib/console/log-each-map' );
+var mode = require( './../lib' );
+
+var opts = {
+ 'dtype': 'float64'
+};
+var c = uniform( 10, 1.1, 10.0, opts );
+var d = uniform( 10, 0.1, 10.0, opts );
+
+logEachMap( 'c: %0.4f, d: %0.4f, mode(X;c,d): %0.4f', c, d, mode );
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/include.gypi b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/include.gypi
new file mode 100644
index 000000000000..bee8d41a2caf
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/include.gypi
@@ -0,0 +1,53 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+# A GYP include file for building a Node.js native add-on.
+#
+# Main documentation:
+#
+# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md
+# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md
+{
+ # Define variables to be used throughout the configuration for all targets:
+ 'variables': {
+ # Source directory:
+ 'src_dir': './src',
+
+ # Include directories:
+ 'include_dirs': [
+ '=0.10.0",
+ "npm": ">2.7.0"
+ },
+ "os": [
+ "aix",
+ "darwin",
+ "freebsd",
+ "linux",
+ "macos",
+ "openbsd",
+ "sunos",
+ "win32",
+ "windows"
+ ],
+ "keywords": [
+ "stdlib",
+ "stdmath",
+ "statistics",
+ "stats",
+ "distribution",
+ "dist",
+ "mode",
+ "continuous",
+ "burr",
+ "burr type-3",
+ "univariate"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/src/Makefile b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/src/Makefile
new file mode 100644
index 000000000000..2caf905cedbe
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+
+# RULES #
+
+#/
+# Removes generated files for building an add-on.
+#
+# @example
+# make clean-addon
+#/
+clean-addon:
+ $(QUIET) -rm -f *.o *.node
+
+.PHONY: clean-addon
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean: clean-addon
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/src/addon.c b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/src/addon.c
new file mode 100644
index 000000000000..becec8640d13
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/src/addon.c
@@ -0,0 +1,22 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+#include "stdlib/stats/base/dists/burr-type3/mode.h"
+#include "stdlib/math/base/napi/binary.h"
+
+STDLIB_MATH_BASE_NAPI_MODULE_DD_D( stdlib_base_dists_burr_type3_mode );
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/src/main.c
new file mode 100644
index 000000000000..623219fffcb1
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/src/main.c
@@ -0,0 +1,47 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+#include "stdlib/stats/base/dists/burr-type3/mode.h"
+#include "stdlib/math/base/assert/is_nan.h"
+#include "stdlib/math/base/special/pow.h"
+
+/**
+* Returns the mode of a Burr (type III) distribution with first shape parameter `c` and second shape parameter `d`.
+*
+* @param c first shape parameter
+* @param d second shape parameter
+* @return mode
+*
+* @example
+* double v = stdlib_base_dists_burr_type3_mode( 2.0, 1.0 );
+* // returns ~0.577
+*/
+double stdlib_base_dists_burr_type3_mode( const double c, const double d ) {
+ if (
+ stdlib_base_is_nan( c ) ||
+ stdlib_base_is_nan( d ) ||
+ c <= 0.0 ||
+ d <= 0.0
+ ) {
+ return 0.0 / 0.0; // NaN
+ }
+ if ( c * d <= 1.0 ) {
+ return 0.0;
+ }
+ return stdlib_base_pow( ( ( c * d ) - 1.0 ) / ( c + 1.0 ), 1.0 / c );
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/fixtures/python/data.json b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/fixtures/python/data.json
new file mode 100644
index 000000000000..1d5e6f0b5484
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/fixtures/python/data.json
@@ -0,0 +1 @@
+{"c": [5.683983253360189, 3.922853950209263, 2.2558900097986214, 8.954033138737607, 11.015085182204787, 9.881716601395976, 7.863718603891524, 2.4142838721626116, 8.671687593861666, 4.268588722050822, 7.595931919697437, 4.489301463545184, 8.911722952452386, 9.439346337158286, 2.1166659003637767, 4.445490655255707, 8.5662649733575, 1.5301483796463236, 6.3371513490546825, 8.84726653891611, 4.293580734091421, 3.014139128698665, 7.8232389965085165, 9.58201459240266, 1.4083681450964205, 1.2535338909668605, 9.128490961515235, 9.402083430329384, 4.597535399106353, 4.981449922790848, 5.911528957197998, 7.635670857079242, 1.5974026565269575, 7.667103458412317, 4.170120738609585, 1.4109518138167312, 3.918798745102482, 3.386473977134067, 9.109401160240813, 4.266276791894192, 8.13762439457782, 10.692945414535593, 1.4665930061089774, 8.612513989123121, 8.800651633338465, 10.671301874439886, 1.3104813977015497, 5.376537627718779, 5.484847158739504, 9.026183788914881, 2.859568368778125, 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/fixtures/python/runner.py b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/fixtures/python/runner.py
new file mode 100644
index 000000000000..e1f976058f78
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/fixtures/python/runner.py
@@ -0,0 +1,80 @@
+#!/usr/bin/env python
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2026 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+"""Generate fixtures."""
+
+import os
+import json
+import numpy as np
+
+# Get the file path:
+FILE = os.path.realpath(__file__)
+
+# Extract the directory in which this file resides:
+DIR = os.path.dirname(FILE)
+
+
+def gen(c, d, name):
+ """Generate fixture data and write to file.
+
+ # Arguments
+
+ * `c`: first shape parameter
+ * `d`: second shape parameter
+ * `name::str`: output filename
+
+ # Examples
+
+ ``` python
+ python> c = np.random.rand(1000) * 10.0 + 1.1
+ python> d = np.random.rand(1000) * 10.0 + 0.1
+ python> gen(c, d, './data.json')
+ ```
+ """
+ y = np.zeros(len(c))
+ m = (c*d) > 1.0
+ y[m] = np.power(((c[m]*d[m]) - 1.0) / (c[m] + 1.0), 1.0/c[m])
+
+ # Store data to be written to file as a dictionary:
+ data = {
+ "c": c.tolist(),
+ "d": d.tolist(),
+ "expected": y.tolist()
+ }
+
+ # Based on the script directory, create an output filepath:
+ filepath = os.path.join(DIR, name)
+
+ # Write the data to the output filepath as JSON:
+ with open(filepath, "w", encoding="utf-8") as outfile:
+ json.dump(data, outfile)
+
+ # Include trailing newline:
+ with open(filepath, "a", encoding="utf-8") as outfile:
+ outfile.write("\n")
+
+
+def main():
+ """Generate fixture data."""
+ c = (np.random.rand(1000) * 10.0) + 1.1
+ d = (np.random.rand(1000) * 10.0) + 0.1
+ gen(c, d, "data.json")
+
+
+if __name__ == "__main__":
+ main()
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/test.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/test.js
new file mode 100644
index 000000000000..233451a272e1
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/test.js
@@ -0,0 +1,117 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+var mode = require( './../lib' );
+
+
+// FIXTURES //
+
+var data = require( './fixtures/python/data.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof mode, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'if provided `NaN` for any parameter, the function returns `NaN`', function test( t ) {
+ var y = mode( NaN, 2.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+ y = mode( 2.0, NaN );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'if provided a nonpositive `c`, the function returns `NaN`', function test( t ) {
+ var y;
+
+ y = mode( 0.0, 2.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( -1.0, 2.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( NINF, 2.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided a nonpositive `d`, the function returns `NaN`', function test( t ) {
+ var y;
+
+ y = mode( 2.0, 0.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( 2.0, -1.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( 2.0, NINF );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( NINF, NINF );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( NaN, NINF );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided `c` and `d` such that `c * d <= 1`, the function returns `0.0`', function test( t ) {
+ var y;
+
+ y = mode( 1.0, 1.0 );
+ t.strictEqual( y, 0.0, 'returns expected value' );
+
+ y = mode( 0.5, 2.0 );
+ t.strictEqual( y, 0.0, 'returns expected value' );
+
+ y = mode( 2.0, 0.25 );
+ t.strictEqual( y, 0.0, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function returns the mode of a Burr (type III) distribution', function test( t ) {
+ var expected;
+ var c;
+ var d;
+ var y;
+ var i;
+
+ expected = data.expected;
+ c = data.c;
+ d = data.d;
+ for ( i = 0; i < expected.length; i++ ) {
+ y = mode( c[ i ], d[ i ] );
+ t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
+ }
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/test.native.js
new file mode 100644
index 000000000000..a90b38396927
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dists/burr-type3/mode/test/test.native.js
@@ -0,0 +1,126 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var tape = require( 'tape' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+
+
+// VARIABLES //
+
+var mode = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( mode instanceof Error )
+};
+
+
+// FIXTURES //
+
+var data = require( './fixtures/python/data.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof mode, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'if provided `NaN` for any parameter, the function returns `NaN`', opts, function test( t ) {
+ var y = mode( NaN, 2.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+ y = mode( 2.0, NaN );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'if provided a nonpositive `c`, the function returns `NaN`', opts, function test( t ) {
+ var y;
+
+ y = mode( 0.0, 2.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( -1.0, 2.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( NINF, 2.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided a nonpositive `d`, the function returns `NaN`', opts, function test( t ) {
+ var y;
+
+ y = mode( 2.0, 0.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( 2.0, -1.0 );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( 2.0, NINF );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( NINF, NINF );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ y = mode( NaN, NINF );
+ t.strictEqual( isnan( y ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided `c` and `d` such that `c * d <= 1`, the function returns `0.0`', opts, function test( t ) {
+ var y;
+
+ y = mode( 1.0, 1.0 );
+ t.strictEqual( y, 0.0, 'returns expected value' );
+
+ y = mode( 0.5, 2.0 );
+ t.strictEqual( y, 0.0, 'returns expected value' );
+
+ y = mode( 2.0, 0.25 );
+ t.strictEqual( y, 0.0, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function returns the mode of a Burr (type III) distribution', opts, function test( t ) {
+ var expected;
+ var c;
+ var d;
+ var y;
+ var i;
+
+ expected = data.expected;
+ c = data.c;
+ d = data.d;
+ for ( i = 0; i < expected.length; i++ ) {
+ y = mode( c[ i ], d[ i ] );
+ t.strictEqual( isAlmostSameValue( y, expected[ i ], 4 ), true, 'returns expected value' );
+ }
+ t.end();
+});