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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"><html> <head>  <title>CDF function for BETA Distribution. Calculates any one parameter of the beta distribution given values for the others.</title>  <meta http-equiv="content-type" content="text/html; charset=UTF-8"> </head> <body><div style="text-align: center;"> <div class="prev" style="text-align: left; float: left;"><a href="function.stats-absolute-deviation.html">stats_absolute_deviation</a></div> <div class="next" style="text-align: right; float: right;"><a href="function.stats-cdf-binomial.html">stats_cdf_binomial</a></div> <div class="up"><a href="ref.stats.html">Statistic Functions</a></div> <div class="home"><a href="index.html">PHP Manual</a></div></div><hr /><div id="function.stats-cdf-beta" class="refentry"> <div class="refnamediv">  <h1 class="refname">stats_cdf_beta</h1>  <p class="verinfo">(PECL stats:1.0.0-1.0.2)</p><p class="refpurpose"><span class="refname">stats_cdf_beta</span> &mdash; <span class="dc-title">CDF function for BETA Distribution. Calculates any one parameter of the beta distribution given values for the others.</span></p> </div> <div class="refsect1 description">  <h3 class="title">Description</h3>  <div class="methodsynopsis dc-description">   <span class="type">float</span> <span class="methodname"><b><b>stats_cdf_beta</b></b></span>    ( <span class="methodparam"><span class="type">float</span> <tt class="parameter">$par1</tt></span>   , <span class="methodparam"><span class="type">float</span> <tt class="parameter">$par2</tt></span>   , <span class="methodparam"><span class="type">float</span> <tt class="parameter">$par3</tt></span>   , <span class="methodparam"><span class="type">int</span> <tt class="parameter">$which</tt></span>   )</div>  <p class="para rdfs-comment">                              Method     Cumulative distribution function  (P)  is calculated directly by     code associated with the following reference.     DiDinato, A. R. and Morris,  A.   H.  Algorithm 708: Significant     Digit Computation of the Incomplete  Beta  Function Ratios.  ACM     Trans. Math.  Softw. 18 (1993), 360-373.     Computation of other parameters involve a search for a value that     produces  the desired  value  of P.   The search relies  on  the     monotinicity of P with the other parameter.                              Note     The beta density is proportional to               t^(A-1) * (1-t)^(B-1)                              Arguments     P -- The integral from 0 to X of the chi-square            distribution.            Input range: [0, 1].     Q -- 1-P.            Input range: [0, 1].            P + Q = 1.0.     X -- Upper limit of integration of beta density.            Input range: [0,1].            Search range: [0,1]     Y -- 1-X.            Input range: [0,1].            Search range: [0,1]            X + Y = 1.0.     A -- The first parameter of the beta density.            Input range: (0, +infinity).            Search range: [1D-100,1D100]     B -- The second parameter of the beta density.            Input range: (0, +infinity).            Search range: [1D-100,1D100]     STATUS  -- 0 if calculation completed correctly               -I if input parameter number I is out of range                1 if answer appears to be lower than lowest                  search bound                2 if answer appears to be higher than greatest                  search bound                3 if P + Q .ne. 1                4 if X + Y .ne. 1     BOUND  -- Undefined if STATUS is 0               Bound exceeded by parameter number I if STATUS               is negative.               Lower search bound if STATUS is 1.               Upper search bound if STATUS is 2.  </p> </div> <div class="refsect1 parameters">  <h3 class="title">Parameters</h3>  <p class="para">   <dl>    <dt>     <span class="term"><i><tt class="parameter">par1</tt></i></span>     <dd>      <p class="para">      </p>     </dd>    </dt>    <dt>     <span class="term"><i><tt class="parameter">par2</tt></i></span>     <dd>      <p class="para">      </p>     </dd>    </dt>    <dt>     <span class="term"><i><tt class="parameter">par3</tt></i></span>     <dd>      <p class="para">      </p>     </dd>    </dt>    <dt>     <span class="term"><i><tt class="parameter">which</tt></i></span>     <dd>      <p class="para">      Integer indicating which of the next four argument               values is to be calculated from the others.               Legal range: 1..4               iwhich = 1 : Calculate P and Q from X,Y,A and B               iwhich = 2 : Calculate X and Y from P,Q,A and B               iwhich = 3 : Calculate A from P,Q,X,Y and B               iwhich = 4 : Calculate B from P,Q,X,Y and A      </p>     </dd>    </dt>   </dl>  </p> </div> <div class="refsect1 returnvalues">  <h3 class="title">Return Values</h3>  <p class="para">     STATUS  -- 0 if calculation completed correctly               -I if input parameter number I is out of range                1 if answer appears to be lower than lowest                  search bound                2 if answer appears to be higher than greatest                  search bound                3 if P + Q .ne. 1                4 if X + Y .ne. 1  </p> </div>    </div><hr /><div style="text-align: center;"> <div class="prev" style="text-align: left; float: left;"><a href="function.stats-absolute-deviation.html">stats_absolute_deviation</a></div> <div class="next" style="text-align: right; float: right;"><a href="function.stats-cdf-binomial.html">stats_cdf_binomial</a></div> <div class="up"><a href="ref.stats.html">Statistic Functions</a></div> <div class="home"><a href="index.html">PHP Manual</a></div></div></body></html>

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