propeller/doc/codox/propeller.tools.distributions.html
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<html><head><meta charset="UTF-8" /><title>propeller.tools.distributions documentation</title><link rel="stylesheet" type="text/css" href="css/default.css" /><link rel="stylesheet" type="text/css" href="css/highlight.css" /><script type="text/javascript" src="js/highlight.min.js"></script><script type="text/javascript" src="js/jquery.min.js"></script><script type="text/javascript" src="js/page_effects.js"></script><script>hljs.initHighlightingOnLoad();</script></head><body><div id="header"><h2>Generated by <a href="https://github.com/weavejester/codox">Codox</a></h2><h1><a href="index.html"><span class="project-title"><span class="project-name">Propeller</span> <span class="project-version">0.3.0</span></span></a></h1></div><div class="sidebar primary"><h3 class="no-link"><span class="inner">Project</span></h3><ul class="index-link"><li class="depth-1 "><a href="index.html"><div class="inner">Index</div></a></li></ul><h3 class="no-link"><span class="inner">Topics</span></h3><ul><li class="depth-1 "><a href="Adding_Genetic_Operators.html"><div class="inner"><span>Adding Genetic Operators</span></div></a></li><li class="depth-1 "><a href="Adding_Problem.html"><div class="inner"><span>Adding a Problem</span></div></a></li><li class="depth-1 "><a href="Adding_Selection_Method.html"><div class="inner"><span>Adding a Selection Method</span></div></a></li><li class="depth-1 "><a href="Experimentation.html"><div class="inner"><span>A Guide to Experimentation</span></div></a></li><li class="depth-1 "><a href="Genetic_Programming_Loop.html"><div class="inner"><span>Genetic Programming Loop</span></div></a></li><li class="depth-1 "><a href="Genome.html"><div class="inner"><span>Genome</span></div></a></li><li class="depth-1 "><a href="Intro.html"><div class="inner"><span>Introduction to Propeller</span></div></a></li><li class="depth-1 "><a href="Library_Reference.html"><div class="inner"><span>Library Reference</span></div></a></li><li class="depth-1 "><a href="Selection.html"><div class="inner"><span>Selection</span></div></a></li><li class="depth-1 "><a href="Simplification.html"><div class="inner"><span>Simplification</span></div></a></li><li class="depth-1 "><a href="Variation.html"><div class="inner"><span>Variation</span></div></a></li></ul><h3 class="no-link"><span class="inner">Namespaces</span></h3><ul><li class="depth-1"><div class="no-link"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>propeller</span></div></div></li><li class="depth-2 branch"><a href="propeller.core.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>core</span></div></a></li><li class="depth-2 branch"><a href="propeller.genome.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>genome</span></div></a></li><li class="depth-2 branch"><a href="propeller.gp.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>gp</span></div></a></li><li class="depth-2"><div class="no-link"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>problems</span></div></div></li><li class="depth-3"><div class="no-link"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>PSB2</span></div></div></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.basement.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>basement</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.bouncing-balls.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>bouncing-balls</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.bowling.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>bowling</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.camel-case.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>camel-case</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.dice-game.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>dice-game</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.fizz-buzz.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>fizz-buzz</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.fuel-cost.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>fuel-cost</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.gcd.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>gcd</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.luhn.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>luhn</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.middle-character.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>middle-character</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.paired-digits.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>paired-digits</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.shopping-list.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>shopping-list</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.snow-day.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>snow-day</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.solve-boolean.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>solve-boolean</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.spin-words.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>spin-words</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.square-digits.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>square-digits</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.PSB2.substitution-cipher.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>substitution-cipher</span></div></a></li><li class="depth-4"><a href="propeller.problems.PSB2.twitter.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>twitter</span></div></a></li><li class="depth-3 branch"><a href="propeller.problems.simple-regression.html"><div class="inner"><span class="tree" style="top: -579px;"><span class="top" style="height: 588px;"></span><span class="bottom"></span></span><span>simple-regression</span></div></a></li><li class="depth-3"><div class="no-link"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>software</span></div></div></li><li class="depth-4 branch"><a href="propeller.problems.software.fizz-buzz.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>fizz-buzz</span></div></a></li><li class="depth-4 branch"><a href="propeller.problems.software.number-io.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>number-io</span></div></a></li><li class="depth-4"><a href="propeller.problems.software.smallest.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>smallest</span></div></a></li><li class="depth-3 branch"><a href="propeller.problems.string-classification.html"><div class="inner"><span class="tree" style="top: -114px;"><span class="top" style="height: 123px;"></span><span class="bottom"></span></span><span>string-classification</span></div></a></li><li class="depth-3"><a href="propeller.problems.valiant.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>valiant</span></div></a></li><li class="depth-2"><div class="no-link"><div class="inner"><span class="tree" style="top: -827px;"><span class="top" style="height: 836px;"></span><span class="bottom"></span></span><span>push</span></div></div></li><li class="depth-3"><a href="propeller.push.instructions.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>instructions</span></div></a></li><li class="depth-4 branch"><a href="propeller.push.instructions.bool.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>bool</span></div></a></li><li class="depth-4 branch"><a href="propeller.push.instructions.character.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>character</span></div></a></li><li class="depth-4 branch"><a href="propeller.push.instructions.code.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>code</span></div></a></li><li class="depth-4 branch"><a href="propeller.push.instructions.input-output.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>input-output</span></div></a></li><li class="depth-4 branch"><a href="propeller.push.instructions.numeric.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>numeric</span></div></a></li><li class="depth-4 branch"><a href="propeller.push.instructions.polymorphic.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>polymorphic</span></div></a></li><li class="depth-4 branch"><a href="propeller.push.instructions.string.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>string</span></div></a></li><li class="depth-4"><a href="propeller.push.instructions.vector.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>vector</span></div></a></li><li class="depth-3 branch"><a href="propeller.push.interpreter.html"><div class="inner"><span class="tree" style="top: -269px;"><span class="top" style="height: 278px;"></span><span class="bottom"></span></span><span>interpreter</span></div></a></li><li class="depth-3 branch"><a href="propeller.push.limits.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>limits</span></div></a></li><li class="depth-3"><a href="propeller.push.state.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>state</span></div></a></li><li class="depth-2 branch"><a href="propeller.selection.html"><div class="inner"><span class="tree" style="top: -393px;"><span class="top" style="height: 402px;"></span><span class="bottom"></span></span><span>selection</span></div></a></li><li class="depth-2 branch"><a href="propeller.session.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>session</span></div></a></li><li class="depth-2 branch"><a href="propeller.simplification.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>simplification</span></div></a></li><li class="depth-2"><div class="no-link"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>tools</span></div></div></li><li class="depth-3 branch"><a href="propeller.tools.calculus.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>calculus</span></div></a></li><li class="depth-3 branch"><a href="propeller.tools.character.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>character</span></div></a></li><li class="depth-3 branch current"><a href="propeller.tools.distributions.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>distributions</span></div></a></li><li class="depth-3 branch"><a href="propeller.tools.math.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>math</span></div></a></li><li class="depth-3"><a href="propeller.tools.metrics.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>metrics</span></div></a></li><li class="depth-2 branch"><a href="propeller.utils.html"><div class="inner"><span class="tree" style="top: -176px;"><span class="top" style="height: 185px;"></span><span class="bottom"></span></span><span>utils</span></div></a></li><li class="depth-2"><a href="propeller.variation.html"><div class="inner"><span class="tree"><span class="top"></span><span class="bottom"></span></span><span>variation</span></div></a></li></ul></div><div class="sidebar secondary"><h3><a href="#top"><span class="inner">Public Vars</span></a></h3><ul><li class="depth-1"><a href="propeller.tools.distributions.html#var-cdf-norm"><div class="inner"><span>cdf-norm</span></div></a></li><li class="depth-1"><a href="propeller.tools.distributions.html#var-pdf-norm"><div class="inner"><span>pdf-norm</span></div></a></li><li class="depth-1"><a href="propeller.tools.distributions.html#var-quant-norm"><div class="inner"><span>quant-norm</span></div></a></li><li class="depth-1"><a href="propeller.tools.distributions.html#var-rand-norm"><div class="inner"><span>rand-norm</span></div></a></li></ul></div><div class="namespace-docs" id="content"><h1 class="anchor" id="top">propeller.tools.distributions</h1><div class="doc"><div class="markdown"></div></div><div class="public anchor" id="var-cdf-norm"><h3>cdf-norm</h3><div class="usage"><code>(cdf-norm {:keys [x mu sigma], :or {mu 0, sigma 1}})</code></div><div class="doc"><div class="markdown"><p>Parameters: {:keys <a href="x mu sigma">x mu sigma</a>} Returns the value of the Normal Cumulative Distribution Function at a particular value x. If no distributional parameters are provided, defaults to the Standard Normal CDF. Accepts an argument map with keys :x, and optionally :mu and :sigma.</p>
</div></div></div><div class="public anchor" id="var-pdf-norm"><h3>pdf-norm</h3><div class="usage"><code>(pdf-norm {:keys [x mu sigma], :or {mu 0, sigma 1}})</code></div><div class="doc"><div class="markdown"><p>Returns the value of the Normal Probability Distribution Function at a particular value x. If no distributional parameters are provided, defaults to the Standard Normal PDF. Accepts an argument map with keys :x, and optionally :mu and :sigma.</p>
</div></div></div><div class="public anchor" id="var-quant-norm"><h3>quant-norm</h3><div class="usage"><code>(quant-norm {:keys [p mu sigma], :or {mu 0, sigma 1}})</code></div><div class="doc"><div class="markdown"><p>For a given probability p, returns the corresponding value of the quantile function (i.e. the inverse Cumulative Distribution Function). If no distributional parameters are provided, defaults to Standard Normal quantiles. Accepts an argument map with keys :p, and optionally :mu and :sigma.</p>
</div></div></div><div class="public anchor" id="var-rand-norm"><h3>rand-norm</h3><div class="usage"><code>(rand-norm {:keys [n mu sigma], :or {n 1, mu 0, sigma 1}})</code></div><div class="doc"><div class="markdown"><p>Generates n Normally-distributed random variables with given mean and standard deviation. If no parameters are provided, defaults to a single random observation from a Standard Normal distribution. Accepts an argument map with optional keys :n, :mu, and :sigma.</p>
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