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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · MeasureTheory.jl</title><meta name="title" content="Home · MeasureTheory.jl"/><meta property="og:title" content="Home · MeasureTheory.jl"/><meta property="twitter:title" content="Home · MeasureTheory.jl"/><meta name="description" content="Documentation for MeasureTheory.jl."/><meta property="og:description" content="Documentation for MeasureTheory.jl."/><meta property="twitter:description" content="Documentation for MeasureTheory.jl."/><meta property="og:url" content="https://cscherrer.github.io/MeasureTheory.jl/"/><meta property="twitter:url" content="https://cscherrer.github.io/MeasureTheory.jl/"/><link rel="canonical" href="https://cscherrer.github.io/MeasureTheory.jl/"/><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" 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href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>MeasureTheory.jl</a></span></div><button class="docs-search-query input is-rounded is-small is-clickable my-2 mx-auto py-1 px-2" id="documenter-search-query">Search docs (Ctrl + /)</button><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a><ul class="internal"><li><a class="tocitem" href="#Why?"><span>Why?</span></a></li><li><a class="tocitem" href="#Getting-started"><span>Getting started</span></a></li></ul></li><li><span class="tocitem">Tutorials</span><ul><li><a class="tocitem" href="adding/">Adding a new measure</a></li><li><a class="tocitem" href="affine/">AffinePushfwd transformations</a></li></ul></li><li><span class="tocitem">API Reference</span><ul><li><a class="tocitem" href="api_measurebase/">MeasureBase</a></li><li><a class="tocitem" href="api_measuretheory/">MeasureTheory</a></li><li><a class="tocitem" href="api_index/">Index</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/JuliaMath/MeasureTheory.jl/blob/master/docs/src/index.md#L" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="Home"><a class="docs-heading-anchor" href="#Home">Home</a><a id="Home-1"></a><a class="docs-heading-anchor-permalink" href="#Home" title="Permalink"></a></h1><p><code>MeasureTheory.jl</code> is a package for building and reasoning about measures.</p><h2 id="Why?"><a class="docs-heading-anchor" href="#Why?">Why?</a><a id="Why?-1"></a><a class="docs-heading-anchor-permalink" href="#Why?" title="Permalink"></a></h2><p>A distribution (as provided by <code>Distributions.jl</code>) is also called a <em>probability measure</em>, and carries with it the constraint of adding (or integrating) to one. Statistical work usually requires this "at the end of the day", but enforcing it at each step of a computation can have considerable overhead. For instance, Bayesian modeling often requires working with unnormalized posterior densities or improper priors.</p><p>As a generalization of the concept of volume, measures also have applications outside of probability theory.</p><h2 id="Getting-started"><a class="docs-heading-anchor" href="#Getting-started">Getting started</a><a id="Getting-started-1"></a><a class="docs-heading-anchor-permalink" href="#Getting-started" title="Permalink"></a></h2><p>To install <code>MeasureTheory.jl</code>, open the Julia Pkg REPL (by typing <code>]</code> in the standard REPL) and run</p><pre><code class="language-julia hljs">pkg> add MeasureTheory</code></pre><p>To get an idea of the possibilities offered by this package, go to the <a href="https://cscherrer.github.io/MeasureTheory.jl/stable">documentation</a>.</p><p>To know more about the underlying theory and its applications to probabilistic programming, check out our <a href="https://arxiv.org/abs/2110.00602">JuliaCon 2021 submission</a>.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="adding/">Adding a new measure »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.4.1 on <span class="colophon-date" title="Sunday 16 June 2024 09:48">Sunday 16 June 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html> | ||
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · MeasureTheory.jl</title><meta name="title" content="Home · MeasureTheory.jl"/><meta property="og:title" content="Home · MeasureTheory.jl"/><meta property="twitter:title" content="Home · MeasureTheory.jl"/><meta name="description" content="Documentation for MeasureTheory.jl."/><meta property="og:description" content="Documentation for MeasureTheory.jl."/><meta property="twitter:description" content="Documentation for MeasureTheory.jl."/><meta property="og:url" content="https://cscherrer.github.io/MeasureTheory.jl/"/><meta property="twitter:url" content="https://cscherrer.github.io/MeasureTheory.jl/"/><link rel="canonical" href="https://cscherrer.github.io/MeasureTheory.jl/"/><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" 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href="assets/themes/catppuccin-mocha.css" data-theme-name="catppuccin-mocha"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/catppuccin-macchiato.css" data-theme-name="catppuccin-macchiato"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/catppuccin-frappe.css" data-theme-name="catppuccin-frappe"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/catppuccin-latte.css" data-theme-name="catppuccin-latte"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>MeasureTheory.jl</a></span></div><button class="docs-search-query input is-rounded is-small is-clickable my-2 mx-auto py-1 px-2" id="documenter-search-query">Search docs (Ctrl + /)</button><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a><ul class="internal"><li><a class="tocitem" href="#Why?"><span>Why?</span></a></li><li><a class="tocitem" href="#Getting-started"><span>Getting started</span></a></li></ul></li><li><span class="tocitem">Tutorials</span><ul><li><a class="tocitem" href="adding/">Adding a new measure</a></li><li><a class="tocitem" href="affine/">AffinePushfwd transformations</a></li></ul></li><li><span class="tocitem">API Reference</span><ul><li><a class="tocitem" href="api_measurebase/">MeasureBase</a></li><li><a class="tocitem" href="api_measuretheory/">MeasureTheory</a></li><li><a class="tocitem" href="api_index/">Index</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/JuliaMath/MeasureTheory.jl/blob/master/docs/src/index.md#L" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="Home"><a class="docs-heading-anchor" href="#Home">Home</a><a id="Home-1"></a><a class="docs-heading-anchor-permalink" href="#Home" title="Permalink"></a></h1><p><code>MeasureTheory.jl</code> is a package for building and reasoning about measures.</p><h2 id="Why?"><a class="docs-heading-anchor" href="#Why?">Why?</a><a id="Why?-1"></a><a class="docs-heading-anchor-permalink" href="#Why?" title="Permalink"></a></h2><p>A distribution (as provided by <code>Distributions.jl</code>) is also called a <em>probability measure</em>, and carries with it the constraint of adding (or integrating) to one. Statistical work usually requires this "at the end of the day", but enforcing it at each step of a computation can have considerable overhead. For instance, Bayesian modeling often requires working with unnormalized posterior densities or improper priors.</p><p>As a generalization of the concept of volume, measures also have applications outside of probability theory.</p><h2 id="Getting-started"><a class="docs-heading-anchor" href="#Getting-started">Getting started</a><a id="Getting-started-1"></a><a class="docs-heading-anchor-permalink" href="#Getting-started" title="Permalink"></a></h2><p>To install <code>MeasureTheory.jl</code>, open the Julia Pkg REPL (by typing <code>]</code> in the standard REPL) and run</p><pre><code class="language-julia hljs">pkg> add MeasureTheory</code></pre><p>To get an idea of the possibilities offered by this package, go to the <a href="https://cscherrer.github.io/MeasureTheory.jl/stable">documentation</a>.</p><p>To know more about the underlying theory and its applications to probabilistic programming, check out our <a href="https://arxiv.org/abs/2110.00602">JuliaCon 2021 submission</a>.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="adding/">Adding a new measure »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.5.0 on <span class="colophon-date" title="Tuesday 16 July 2024 09:48">Tuesday 16 July 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html> |