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feat: add stats/base/dists/bradford/pdf #5280

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@anandkaranubc anandkaranubc commented Feb 18, 2025 •
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Progresses #168

Description

What is the purpose of this pull request?

This pull request:

  • Adds the JS implementation of the probability density function (PDF) for a Bradford distribution, along with its factory implementation.

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@anandkaranubc
feat: add implementation
e443b63 
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feat: add tests
cef2d06 
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feat: add docs, benchmarks and examples
f8aa307 
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@stdlib-bot stdlib-bot added Statistics Issue or pull request related to statistical functionality. Needs Review A pull request which needs code review. labels Feb 18, 2025
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stdlib-bot commented Feb 18, 2025 •
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Coverage Report

Package Statements Branches Functions Lines
stats/base/dists/bradford/pdf $\color{green}229/229$
$\color{green}+100.00\%$ 		$\color{green}21/21$
$\color{green}+100.00\%$ 		$\color{green}3/3$
$\color{green}+100.00\%$ 		$\color{green}229/229$
$\color{green}+100.00\%$

The above coverage report was generated for the changes in this PR.

@anandkaranubc
refactor: use log1p instead of ln
9996a17 
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anandkaranubc commented Feb 18, 2025 •
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The use of log1p here slightly improves the tolerances, unlike in the implementation of the mean, where it has the opposite effect.

kgryte
kgryte reviewed Feb 19, 2025
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lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/README.md Outdated

<section class="intro">

The [probability density function][pdf] (PDF) for a [bradford][bradford-distribution] random variable is
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Suggested change
The [probability density function][pdf] (PDF) for a [bradford][bradford-distribution] random variable is
The [probability density function][pdf] (PDF) for a [Bradford][bradford-distribution] random variable is

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"Bradford" is a proper noun.

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Sorry, my mistake. This change was in my recent commit history, but I forgot to push it. :(

kgryte
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lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/README.md Outdated

The [probability density function][pdf] (PDF) for a [bradford][bradford-distribution] random variable is

<!-- <equation class="equation" label="eq:bradford_pdf" align="center" raw="f(x;c)=\frac{c}{(\ln(1+c)) (1 + cx)}" alt="Probability density function (PDF) for a bradford distribution."> -->
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Suggested change
<!-- <equation class="equation" label="eq:bradford_pdf" align="center" raw="f(x;c)=\frac{c}{(\ln(1+c)) (1 + cx)}" alt="Probability density function (PDF) for a bradford distribution."> -->
<!-- <equation class="equation" label="eq:bradford_pdf" align="center" raw="f(x;c)=\frac{c}{(\ln(1+c)) (1 + cx)}" alt="Probability density function (PDF) for a Bradford distribution."> -->

kgryte
kgryte reviewed Feb 19, 2025
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lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/README.md Outdated
```

<!-- <div class="equation" align="center" data-raw-text="f(x;c)=\frac{c}{(\ln(1+c)) (1 + cx)}" data-equation="eq:bradford_pdf">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@51534079fef45e990850102147e8945fb023d1d0/lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/docs/img/equation_bradford_pdf.svg" alt="Probability density function (PDF) for a bradford distribution.">
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Suggested change
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@51534079fef45e990850102147e8945fb023d1d0/lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/docs/img/equation_bradford_pdf.svg" alt="Probability density function (PDF) for a bradford distribution.">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@51534079fef45e990850102147e8945fb023d1d0/lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/docs/img/equation_bradford_pdf.svg" alt="Probability density function (PDF) for a Bradford distribution.">

kgryte
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lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/README.md Outdated

#### pdf( x, c )

Evaluates the [probability density function][pdf] (PDF) for a [bradford][bradford-distribution] distribution with shape parameter `c` at a value `x`.
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Suggested change
Evaluates the [probability density function][pdf] (PDF) for a [bradford][bradford-distribution] distribution with shape parameter `c` at a value `x`.
Evaluates the [probability density function][pdf] (PDF) for a [Bradford][bradford-distribution] distribution with shape parameter `c` at a value `x`.

This change applies here and elsewhere throughout this package.

kgryte
kgryte reviewed Feb 19, 2025
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lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/README.md Outdated

#### pdf.factory( c )

Returns a `function` for evaluating the [PDF][pdf] of a [bradford][bradford-distribution] distribution with shape parameter `c`.
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Suggested change
Returns a `function` for evaluating the [PDF][pdf] of a [bradford][bradford-distribution] distribution with shape parameter `c`.
Returns a function for evaluating the [PDF][pdf] of a [Bradford][bradford-distribution] distribution with shape parameter `c`.

We've moved away from enclosing built-in types in backticks.

kgryte
kgryte reviewed Feb 19, 2025
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lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/README.md Outdated
Comment on lines 128 to 135
var x;
var c;
var y;
var i;

for ( i = 0; i < 25; i++ ) {
x = randu();
c = ( randu()*10.0 );
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Would you mind refactoring to generate two arrays--one for x and another for c--rather create within a loop? This pattern is from back when we didn't have array utilities for generating random numbers.

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Sure. I changed it to match exactly what was done in the recent implementation of stats/base/dists/planck

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Yeah, at the time, did not want to fight an uphill battle, but we might as well fight the good fight now.

kgryte
kgryte reviewed Feb 19, 2025
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lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/docs/repl.txt Outdated
@@ -0,0 +1,69 @@

{{alias}}( x, c )
Evaluates the probability density function (PDF) for a bradford distribution
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Suggested change
Evaluates the probability density function (PDF) for a bradford distribution
Evaluates the probability density function (PDF) for a Bradford distribution

kgryte
kgryte reviewed Feb 19, 2025
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lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/docs/repl.txt Outdated

{{alias}}.factory( c )
Returns a function for evaluating the probability density function (PDF) of
a bradford distribution with shape parameter `c`.
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Suggested change
a bradford distribution with shape parameter `c`.
a Bradford distribution with shape parameter `c`.

kgryte
kgryte reviewed Feb 19, 2025
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lib/node_modules/@stdlib/stats/base/dists/bradford/pdf/examples/index.js Outdated
var randu = require( '@stdlib/random/base/randu' );
var pdf = require( './../lib' );

var x;
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Same comment as README

@kgryte kgryte added Needs Changes Pull request which needs changes before being merged. and removed Needs Review A pull request which needs code review. labels Feb 19, 2025
@anandkaranubc anandkaranubc marked this pull request as draft February 19, 2025 09:28
@anandkaranubc
fix: case differences
4af0019 
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refactor: apply suggestions from PR review
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@anandkaranubc anandkaranubc marked this pull request as ready for review February 19, 2025 10:03
@stdlib-bot stdlib-bot added the Needs Review A pull request which needs code review. label Feb 19, 2025
@anandkaranubc
refactor: use uniform array in benchmarks
e53463c 
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bench: add factory benchmarks
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@anandkaranubc anandkaranubc marked this pull request as draft February 19, 2025 19:15
@stdlib-bot stdlib-bot removed the Needs Review A pull request which needs code review. label Feb 19, 2025
@anandkaranubc
fix: update implementation to include support for x outside of [0,1]
5bd5162 
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@anandkaranubc anandkaranubc marked this pull request as ready for review February 19, 2025 19:40
@stdlib-bot stdlib-bot added the Needs Review A pull request which needs code review. label Feb 19, 2025
@anandkaranubc
docs: rearrange the description in README
85c5fdf 
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RFC: add the Bradford distribution
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