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docs/2_22/functions-reference/CSR.html

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 <div id="CSR" class="section level2">
 <h2 number="6.1"><span class="header-section-number">6.1</span> Compressed Row Storage</h2>
 <p>Sparse matrices are represented in Stan using compressed row storage

docs/2_22/functions-reference/Phi-function.html

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 <h2 number="3.12"><span class="header-section-number">3.12</span> Probability-Related Functions</h2>
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docs/2_22/functions-reference/absolute-functions.html

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 <h2 number="2.2"><span class="header-section-number">2.2</span> Absolute Functions</h2>
 <!-- R; abs; (T x); -->

docs/2_22/functions-reference/appendix.html

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 <div id="appendix" class="section level1">
 <h1 class="unnumbered" number=""><i style="font-size: 110%; color:#990017;">Appendix</i></h1>
 

docs/2_22/functions-reference/argument-order-and-the-vertical-bar.html

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 <div id="argument-order-and-the-vertical-bar" class="section level2">
 <h2 number="10.2"><span class="header-section-number">10.2</span> Argument Order and the Vertical Bar</h2>
 <p>Each probability function has a specific outcome value and a number of

docs/2_22/functions-reference/array-broadcasting.html

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 <div id="array-broadcasting" class="section level2">
 <h2 number="4.3"><span class="header-section-number">4.3</span> Array Broadcasting</h2>
 <p>The following operations create arrays by repeating elements to fill

docs/2_22/functions-reference/array-concatenation.html

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 <div id="array-concatenation" class="section level2">
 <h2 number="4.4"><span class="header-section-number">4.4</span> Array Concatenation</h2>
 <!-- T; append_array; (T x, T y); -->

docs/2_22/functions-reference/array-operations.html

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 <h1 number="4"><span class="header-section-number">4</span> Array Operations</h1>
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docs/2_22/functions-reference/array-reductions.html

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 <div id="array-reductions" class="section level2">
 <h2 number="4.1"><span class="header-section-number">4.1</span> Reductions</h2>
 <p>The following operations take arrays as input and produce single

docs/2_22/functions-reference/array-size-and-dimension-function.html

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 <div id="array-size-and-dimension-function" class="section level2">
 <h2 number="4.2"><span class="header-section-number">4.2</span> Array Size and Dimension Function</h2>
 <p>The size of an array or matrix can be obtained using the <code>dims()</code>

docs/2_22/functions-reference/bernoulli-distribution.html

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 <div id="bernoulli-distribution" class="section level2">
 <h2 number="11.1"><span class="header-section-number">11.1</span> Bernoulli Distribution</h2>
 <div id="probability-mass-function" class="section level3">

docs/2_22/functions-reference/bernoulli-logit-distribution.html

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 <div id="bernoulli-logit-distribution" class="section level2">
 <h2 number="11.2"><span class="header-section-number">11.2</span> Bernoulli Distribution, Logit Parameterization</h2>
 <p>Stan also supplies a direct parameterization in terms of a

docs/2_22/functions-reference/bernoulli-logit-glm.html

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 <div id="bernoulli-logit-glm" class="section level2">
 <h2 number="11.3"><span class="header-section-number">11.3</span> Bernoulli-Logit Generalised Linear Model (Logistic Regression)</h2>
 <p>Stan also supplies a single primitive for a Generalised Linear Model

docs/2_22/functions-reference/beta-appendix.html

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 <div id="beta-appendix" class="section level2">
 <h2 number="25.1"><span class="header-section-number">25.1</span> Beta</h2>
 <p>The beta function, <span class="math inline">\(\text{B}(a, b)\)</span>, computes the normalizing

docs/2_22/functions-reference/beta-binomial-distribution.html

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 <div id="beta-binomial-distribution" class="section level2">
 <h2 number="12.3"><span class="header-section-number">12.3</span> Beta-Binomial Distribution</h2>
 <div id="probability-mass-function-5" class="section level3">

docs/2_22/functions-reference/beta-distribution.html

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 <h2 number="18.1"><span class="header-section-number">18.1</span> Beta Distribution</h2>
 <div id="probability-density-function-21" class="section level3">

docs/2_22/functions-reference/beta-proportion-distribution.html

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 <div id="beta-proportion-distribution" class="section level2">
 <h2 number="18.2"><span class="header-section-number">18.2</span> Beta Proportion Distribution</h2>
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docs/2_22/functions-reference/betafun.html

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 <h2 number="3.13"><span class="header-section-number">3.13</span> Combinatorial Functions</h2>
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docs/2_22/functions-reference/binary-distributions.html

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 <div id="binary-distributions" class="section level1">
 <h1 number="11"><span class="header-section-number">11</span> Binary Distributions</h1>
 <p>Binary probability distributions have support on <span class="math inline">\(\{0,1\}\)</span>, where 1

docs/2_22/functions-reference/binomial-distribution-logit-parameterization.html

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 <div id="binomial-distribution-logit-parameterization" class="section level2">
 <h2 number="12.2"><span class="header-section-number">12.2</span> Binomial Distribution, Logit Parameterization</h2>
 <p>Stan also provides a version of the binomial probability mass function

docs/2_22/functions-reference/binomial-distribution.html

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 <div id="binomial-distribution" class="section level2">
 <h2 number="12.1"><span class="header-section-number">12.1</span> Binomial Distribution</h2>
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docs/2_22/functions-reference/bound-functions.html

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 <h2 number="2.3"><span class="header-section-number">2.3</span> Bound Functions</h2>
 <!-- int; min; (int x, int y); -->

docs/2_22/functions-reference/boundary-conditions.html

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 <h2 number="10.5"><span class="header-section-number">10.5</span> Boundary Conditions</h2>
 <p>Many distributions are defined with support or constraints on

docs/2_22/functions-reference/bounded-continuous-distributions.html

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 <h1 number="20"><span class="header-section-number">20</span> Bounded Continuous Distributions</h1>
 <p>The bounded continuous probabilities have support on a finite interval

docs/2_22/functions-reference/bounded-discrete-distributions.html

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 <div id="bounded-discrete-distributions" class="section level1">
 <h1 number="12"><span class="header-section-number">12</span> Bounded Discrete Distributions</h1>
 <p>Bounded discrete probability functions have support on <span class="math inline">\(\{ 0, \ldots, N \}\)</span> for some upper bound <span class="math inline">\(N\)</span>.</p>

docs/2_22/functions-reference/built-in-constants.html

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 <h2 number="3.2"><span class="header-section-number">3.2</span> Mathematical Constants</h2>
 <p>Constants are represented as functions with no arguments and must be

docs/2_22/functions-reference/built-in-functions.html

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 <div id="built-in-functions" class="section level1">
 <h1 class="unnumbered" number=""><i style="font-size: 110%; color:#990017;">Built-In Functions</i></h1>
 

docs/2_22/functions-reference/categorical-distribution.html

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 <h2 number="12.5"><span class="header-section-number">12.5</span> Categorical Distribution</h2>
 <div id="probability-mass-functions" class="section level3">

docs/2_22/functions-reference/cauchy-distribution.html

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 <h2 number="15.6"><span class="header-section-number">15.6</span> Cauchy Distribution</h2>
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docs/2_22/functions-reference/chi-square-distribution.html

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 <div id="chi-square-distribution" class="section level2">
 <h2 number="16.2"><span class="header-section-number">16.2</span> Chi-Square Distribution</h2>
 <div id="probability-density-function-9" class="section level3">

docs/2_22/functions-reference/cholesky-lkj-correlation-distribution.html

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 <h2 number="23.2"><span class="header-section-number">23.2</span> Cholesky LKJ Correlation Distribution</h2>
 <p>Stan provides an implicit parameterization of the LKJ correlation

docs/2_22/functions-reference/circular-distributions.html

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 <div id="circular-distributions" class="section level1">
 <h1 number="19"><span class="header-section-number">19</span> Circular Distributions</h1>
 <p>Circular distributions are defined for finite values y in any interval

docs/2_22/functions-reference/composed-functions.html

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 <h2 number="3.14"><span class="header-section-number">3.14</span> Composed Functions</h2>
 <p>The functions in this section are equivalent in theory to combinations

docs/2_22/functions-reference/compound-addition-and-assignment.html

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 <h2 number="8.1"><span class="header-section-number">8.1</span> Compound Addition and Assignment</h2>
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 <h1 number="8"><span class="header-section-number">8</span> Compound Arithmetic and Assignment</h1>
 <p>Compound arithmetic and assignment statements combine an arithmetic

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 <h2 number="8.4"><span class="header-section-number">8.4</span> Compound Division and Assignment</h2>
 <!-- void; operator/=; (int x, int y); -->