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<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div><hr/><h1 class="libdoc">NAG Library Chapter Contents<br/><br/>G01 &#8211; Simple Calculations on Statistical Data</h1>
<h3 class="standard"><a class="chapint" href="../G01/g01intro.xml">G01 Chapter Introduction</a></h3>
<div class="left-tablediv"><table class="contents"><tbody>
<tr>
<td class="contents" valign="top" align="left"><b>Routine<br/>Name</b></td>
<td class="contents" valign="top" align="center"><b>Mark of<br/>Introduction</b></td>
<td class="contents" valign="top" align="left"><br/><b>Purpose</b></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01aaf.xml">G01AAF</a>
<br/><a class="tocexample" href="../../examples/source/g01aafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01aafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">4</td>
<td class="contentsdoc" valign="top">Mean, variance, skewness, kurtosis, etc., one variable, from raw data</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01abf.xml">G01ABF</a>
<br/><a class="tocexample" href="../../examples/source/g01abfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01abfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">4</td>
<td class="contentsdoc" valign="top">Mean, variance, skewness, kurtosis, etc., two variables, from raw data</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01adf.xml">G01ADF</a>
<br/><a class="tocexample" href="../../examples/source/g01adfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01adfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">4</td>
<td class="contentsdoc" valign="top">Mean, variance, skewness, kurtosis, etc., one variable, from frequency table</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01aef.xml">G01AEF</a>
<br/><a class="tocexample" href="../../examples/source/g01aefe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01aefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">4</td>
<td class="contentsdoc" valign="top">Frequency table from raw data</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01aff.xml">G01AFF</a>
<br/><a class="tocexample" href="../../examples/source/g01affe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01affe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">4</td>
<td class="contentsdoc" valign="top">Two-way contingency table analysis, with <m:math><m:msup><m:mi>&#967;</m:mi><m:mn>2</m:mn></m:msup></m:math>/Fisher's exact test</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01agf.xml">G01AGF</a>
<br/><a class="tocexample" href="../../examples/source/g01agfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01agfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Lineprinter scatterplot of two variables</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01ahf.xml">G01AHF</a>
<br/><a class="tocexample" href="../../examples/source/g01ahfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01ahfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Lineprinter scatterplot of one variable against Normal scores</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01ajf.xml">G01AJF</a>
<br/><a class="tocexample" href="../../examples/source/g01ajfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01ajfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">10</td>
<td class="contentsdoc" valign="top">Lineprinter histogram of one variable</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01alf.xml">G01ALF</a>
<br/><a class="tocexample" href="../../examples/source/g01alfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01alfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes a five-point summary (median, hinges and extremes)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01amf.xml">G01AMF</a>
<br/><a class="tocexample" href="../../examples/source/g01amfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01amfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">22</td>
<td class="contentsdoc" valign="top">Find quantiles of an unordered vector, real numbers
</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01arf.xml">G01ARF</a>
<br/><a class="tocexample" href="../../examples/source/g01arfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01arfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Constructs a stem and leaf plot</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01asf.xml">G01ASF</a>
<br/><a class="tocexample" href="../../examples/source/g01asfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01asfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Constructs a box and whisker plot</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01bjf.xml">G01BJF</a>
<br/><a class="tocexample" href="../../examples/source/g01bjfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01bjfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Binomial distribution function</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01bkf.xml">G01BKF</a>
<br/><a class="tocexample" href="../../examples/source/g01bkfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01bkfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Poisson distribution function</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01blf.xml">G01BLF</a>
<br/><a class="tocexample" href="../../examples/source/g01blfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01blfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Hypergeometric distribution function</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01daf.xml">G01DAF</a>
<br/><a class="tocexample" href="../../examples/source/g01dafe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Normal scores, accurate values</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01dbf.xml">G01DBF</a>
<br/><a class="tocexample" href="../../examples/source/g01dbfe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Normal scores, approximate values</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01dcf.xml">G01DCF</a>
<br/><a class="tocexample" href="../../examples/source/g01dcfe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Normal scores, approximate variance-covariance matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01ddf.xml">G01DDF</a>
<br/><a class="tocexample" href="../../examples/source/g01ddfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01ddfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">12</td>
<td class="contentsdoc" valign="top">Shapiro and Wilk's <m:math><m:mi>W</m:mi></m:math>&#160;test for Normality</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01dhf.xml">G01DHF</a>
<br/><a class="tocexample" href="../../examples/source/g01dhfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01dhfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top">Ranks, Normal scores, approximate Normal scores or exponential (Savage) scores</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01eaf.xml">G01EAF</a>
<br/><a class="tocexample" href="../../examples/source/g01eafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01eafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top">Computes probabilities for the standard Normal distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01ebf.xml">G01EBF</a>
<br/><a class="tocexample" href="../../examples/source/g01ebfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01ebfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probabilities for Student's <m:math><m:mi>t</m:mi></m:math>-distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01ecf.xml">G01ECF</a>
<br/><a class="tocexample" href="../../examples/source/g01ecfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01ecfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probabilities for <m:math><m:msup><m:mi>&#967;</m:mi><m:mn>2</m:mn></m:msup></m:math>&#160;distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01edf.xml">G01EDF</a>
<br/><a class="tocexample" href="../../examples/source/g01edfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01edfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probabilities for <m:math><m:mi>F</m:mi></m:math>-distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01eef.xml">G01EEF</a>
<br/><a class="tocexample" href="../../examples/source/g01eefe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01eefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes upper and lower tail probabilities and probability density function for the beta distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01eff.xml">G01EFF</a>
<br/><a class="tocexample" href="../../examples/source/g01effe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01effe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probabilities for the gamma distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01emf.xml">G01EMF</a>
<br/><a class="tocexample" href="../../examples/source/g01emfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01emfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top">Computes probability for the Studentized range statistic</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01epf.xml">G01EPF</a>
<br/><a class="tocexample" href="../../examples/source/g01epfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01epfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top">Computes bounds for the significance of a Durbin&#8211;Watson statistic</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01erf.xml">G01ERF</a>
<br/><a class="tocexample" href="../../examples/source/g01erfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01erfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Computes probability for von Mises distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01etf.xml">G01ETF</a>
<br/><a class="tocexample" href="../../examples/source/g01etfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01etfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Landau distribution function <m:math><m:mi>&#934;</m:mi><m:mfenced separators=""><m:mi>&#955;</m:mi></m:mfenced></m:math></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01euf.xml">G01EUF</a>
<br/><a class="tocexample" href="../../examples/source/g01eufe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01eufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Vavilov distribution function <m:math><m:msub><m:mi>&#934;</m:mi><m:mi>V</m:mi></m:msub><m:mfenced separators=""><m:mrow><m:mi>&#955;</m:mi><m:mo>;</m:mo><m:mi>&#954;</m:mi></m:mrow><m:mo>,</m:mo><m:msup><m:mi>&#946;</m:mi><m:mn>2</m:mn></m:msup></m:mfenced></m:math></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01eyf.xml">G01EYF</a>
<br/><a class="tocexample" href="../../examples/source/g01eyfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01eyfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probabilities for the one-sample Kolmogorov&#8211;Smirnov distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01ezf.xml">G01EZF</a>
<br/><a class="tocexample" href="../../examples/source/g01ezfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01ezfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probabilities for the two-sample Kolmogorov&#8211;Smirnov distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01faf.xml">G01FAF</a>
<br/><a class="tocexample" href="../../examples/source/g01fafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01fafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top">Computes deviates for the standard Normal distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01fbf.xml">G01FBF</a>
<br/><a class="tocexample" href="../../examples/source/g01fbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01fbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes deviates for Student's <m:math><m:mi>t</m:mi></m:math>-distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01fcf.xml">G01FCF</a>
<br/><a class="tocexample" href="../../examples/source/g01fcfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01fcfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes deviates for the <m:math><m:msup><m:mi>&#967;</m:mi><m:mn>2</m:mn></m:msup></m:math>&#160;distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01fdf.xml">G01FDF</a>
<br/><a class="tocexample" href="../../examples/source/g01fdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01fdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes deviates for the <m:math><m:mi>F</m:mi></m:math>-distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01fef.xml">G01FEF</a>
<br/><a class="tocexample" href="../../examples/source/g01fefe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01fefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes deviates for the beta distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01fff.xml">G01FFF</a>
<br/><a class="tocexample" href="../../examples/source/g01fffe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01fffe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes deviates for the gamma distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01fmf.xml">G01FMF</a>
<br/><a class="tocexample" href="../../examples/source/g01fmfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01fmfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top">Computes deviates for the Studentized range statistic</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01ftf.xml">G01FTF</a>
<br/><a class="tocexample" href="../../examples/source/g01ftfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01ftfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Landau inverse function <m:math><m:mi>&#936;</m:mi><m:mfenced separators=""><m:mi>x</m:mi></m:mfenced></m:math></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01gbf.xml">G01GBF</a>
<br/><a class="tocexample" href="../../examples/source/g01gbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01gbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probabilities for the non-central Student's <m:math><m:mi>t</m:mi></m:math>-distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01gcf.xml">G01GCF</a>
<br/><a class="tocexample" href="../../examples/source/g01gcfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01gcfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probabilities for the non-central <m:math><m:msup><m:mi>&#967;</m:mi><m:mn>2</m:mn></m:msup></m:math>&#160;distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01gdf.xml">G01GDF</a>
<br/><a class="tocexample" href="../../examples/source/g01gdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01gdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probabilities for the non-central <m:math><m:mi>F</m:mi></m:math>-distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01gef.xml">G01GEF</a>
<br/><a class="tocexample" href="../../examples/source/g01gefe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01gefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probabilities for the non-central beta distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01haf.xml">G01HAF</a>
<br/><a class="tocexample" href="../../examples/source/g01hafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01hafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probability for the bivariate Normal distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01hbf.xml">G01HBF</a>
<br/><a class="tocexample" href="../../examples/source/g01hbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01hbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top">Computes probabilities for the multivariate Normal distribution</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01jcf.xml">G01JCF</a>
<br/><a class="tocexample" href="../../examples/source/g01jcfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01jcfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Computes probability for a positive linear combination of <m:math><m:msup><m:mi>&#967;</m:mi><m:mn>2</m:mn></m:msup></m:math>&#160;variables</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01jdf.xml">G01JDF</a>
<br/><a class="tocexample" href="../../examples/source/g01jdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01jdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top">Computes lower tail probability for a linear combination of (central) <m:math><m:msup><m:mi>&#967;</m:mi><m:mn>2</m:mn></m:msup></m:math>&#160;variables</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01mbf.xml">G01MBF</a>
<br/><a class="tocexample" href="../../examples/source/g01mbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01mbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top">Computes reciprocal of Mills' Ratio</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01mtf.xml">G01MTF</a>
<br/><a class="tocexample" href="../../examples/source/g01mtfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01mtfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Landau density function  <m:math><m:mi>&#981;</m:mi><m:mfenced separators=""><m:mi>&#955;</m:mi></m:mfenced></m:math></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01muf.xml">G01MUF</a>
<br/><a class="tocexample" href="../../examples/source/g01mufe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01mufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Vavilov density function <m:math><m:msub><m:mi>&#981;</m:mi><m:mi>V</m:mi></m:msub><m:mfenced separators=""><m:mrow><m:mi>&#955;</m:mi><m:mo>;</m:mo><m:mi>&#954;</m:mi></m:mrow><m:mo>,</m:mo><m:msup><m:mi>&#946;</m:mi><m:mn>2</m:mn></m:msup></m:mfenced></m:math></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01naf.xml">G01NAF</a>
<br/><a class="tocexample" href="../../examples/source/g01nafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01nafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Cumulants and moments of quadratic forms in Normal variables</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01nbf.xml">G01NBF</a>
<br/><a class="tocexample" href="../../examples/source/g01nbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01nbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Moments of ratios of quadratic forms in Normal variables, and related statistics</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01ptf.xml">G01PTF</a>
<br/><a class="tocexample" href="../../examples/source/g01ptfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01ptfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Landau first moment function <m:math><m:msub><m:mi>&#934;</m:mi><m:mn>1</m:mn></m:msub><m:mfenced separators=""><m:mi>x</m:mi></m:mfenced></m:math></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01qtf.xml">G01QTF</a>
<br/><a class="tocexample" href="../../examples/source/g01qtfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01qtfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Landau second moment function <m:math><m:msub><m:mi>&#934;</m:mi><m:mn>2</m:mn></m:msub><m:mfenced separators=""><m:mi>x</m:mi></m:mfenced></m:math></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01rtf.xml">G01RTF</a>
<br/><a class="tocexample" href="../../examples/source/g01rtfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/g01rtfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Landau derivative function <m:math><m:msup><m:mi>&#981;</m:mi><m:mo>&#8242;</m:mo></m:msup><m:mfenced separators=""><m:mi>&#955;</m:mi></m:mfenced></m:math></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../G01/g01zuf.xml">G01ZUF</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Initialization routine for <a class="rout" href="../G01/g01muf.xml">G01MUF</a> and <a class="rout" href="../G01/g01euf.xml">G01EUF</a></td>
</tr>
</tbody>
</table></div><hr/><div><a class="chap" href="../../pdf/G01/g01conts.pdf">G01 Chapter Contents (PDF version)</a></div><div><a class="chapint" href="g01intro.xml">G01 Chapter Introduction</a></div>
<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div>
<div><hr/><a class="genint" href="../FRONTMATTER/copyright.xml">&#169; The Numerical Algorithms Group Ltd, Oxford, UK. 2009</a></div></body></html>
