/usr/share/doc/pspp/pspp.html/Continuous-Distributions.html is in pspp 0.8.5-5build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 | <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<!-- This manual is for GNU PSPP version 0.8.5,
software for statistical analysis.
Copyright (C) 1997, 1998, 2004, 2005, 2009, 2012, 2013, 2014 Free Software Foundation, Inc.
Permission is granted to copy, distribute and/or modify this document
under the terms of the GNU Free Documentation License, Version 1.3
or any later version published by the Free Software Foundation;
with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
A copy of the license is included in the section entitled "GNU
Free Documentation License". -->
<!-- Created by GNU Texinfo 6.0, http://www.gnu.org/software/texinfo/ -->
<head>
<title>PSPP: Continuous Distributions</title>
<meta name="description" content="PSPP: Continuous Distributions">
<meta name="keywords" content="PSPP: Continuous Distributions">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="makeinfo">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<link href="index.html#Top" rel="start" title="Top">
<link href="Function-Index.html#Function-Index" rel="index" title="Function Index">
<link href="index.html#SEC_Contents" rel="contents" title="Table of Contents">
<link href="Statistical-Distribution-Functions.html#Statistical-Distribution-Functions" rel="up" title="Statistical Distribution Functions">
<link href="Discrete-Distributions.html#Discrete-Distributions" rel="next" title="Discrete Distributions">
<link href="Statistical-Distribution-Functions.html#Statistical-Distribution-Functions" rel="prev" title="Statistical Distribution Functions">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.indentedblock {margin-right: 0em}
blockquote.smallindentedblock {margin-right: 0em; font-size: smaller}
blockquote.smallquotation {font-size: smaller}
div.display {margin-left: 3.2em}
div.example {margin-left: 3.2em}
div.lisp {margin-left: 3.2em}
div.smalldisplay {margin-left: 3.2em}
div.smallexample {margin-left: 3.2em}
div.smalllisp {margin-left: 3.2em}
kbd {font-style: oblique}
pre.display {font-family: inherit}
pre.format {font-family: inherit}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
pre.smalldisplay {font-family: inherit; font-size: smaller}
pre.smallexample {font-size: smaller}
pre.smallformat {font-family: inherit; font-size: smaller}
pre.smalllisp {font-size: smaller}
span.nocodebreak {white-space: nowrap}
span.nolinebreak {white-space: nowrap}
span.roman {font-family: serif; font-weight: normal}
span.sansserif {font-family: sans-serif; font-weight: normal}
ul.no-bullet {list-style: none}
-->
</style>
</head>
<body lang="en">
<a name="Continuous-Distributions"></a>
<div class="header">
<p>
Next: <a href="Discrete-Distributions.html#Discrete-Distributions" accesskey="n" rel="next">Discrete Distributions</a>, Up: <a href="Statistical-Distribution-Functions.html#Statistical-Distribution-Functions" accesskey="u" rel="up">Statistical Distribution Functions</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Continuous-Distributions-1"></a>
<h4 class="subsubsection">7.7.10.1 Continuous Distributions</h4>
<p>The following continuous distributions are available:
</p>
<dl>
<dt><a name="index-PDF_002eBETA"></a>Function: <em></em> <strong>PDF.BETA</strong> <em>(<var>x</var>)</em></dt>
<dt><a name="index-CDF_002eBETA"></a>Function: <em></em> <strong>CDF.BETA</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-IDF_002eBETA"></a>Function: <em></em> <strong>IDF.BETA</strong> <em>(<var>p</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-RV_002eBETA"></a>Function: <em></em> <strong>RV.BETA</strong> <em>(<var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-NPDF_002eBETA"></a>Function: <em></em> <strong>NPDF.BETA</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>, <var>lambda</var>)</em></dt>
<dt><a name="index-NCDF_002eBETA"></a>Function: <em></em> <strong>NCDF.BETA</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>, <var>lambda</var>)</em></dt>
<dd><p>Beta distribution with shape parameters <var>a</var> and <var>b</var>. The
noncentral distribution takes an additional parameter <var>lambda</var>.
Constraints: <var>a</var> > 0, <var>b</var> > 0, <var>lambda</var> >= 0, 0 <= <var>x</var>
<= 1, 0 <= <var>p</var> <= 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eBVNOR"></a>Function: <em></em> <strong>PDF.BVNOR</strong> <em>(<var>x0</var>, <var>x1</var>, <var>rho</var>)</em></dt>
<dt><a name="index-CDF_002eVBNOR"></a>Function: <em></em> <strong>CDF.VBNOR</strong> <em>(<var>x0</var>, <var>x1</var>, <var>rho</var>)</em></dt>
<dd><p>Bivariate normal distribution of two standard normal variables with
correlation coefficient <var>rho</var>. Two variates <var>x0</var> and <var>x1</var>
must be provided. Constraints: 0 <= <var>rho</var> <= 1, 0 <= <var>p</var> <= 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eCAUCHY"></a>Function: <em></em> <strong>PDF.CAUCHY</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-CDF_002eCAUCHY"></a>Function: <em></em> <strong>CDF.CAUCHY</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-IDF_002eCAUCHY"></a>Function: <em></em> <strong>IDF.CAUCHY</strong> <em>(<var>p</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-RV_002eCAUCHY"></a>Function: <em></em> <strong>RV.CAUCHY</strong> <em>(<var>a</var>, <var>b</var>)</em></dt>
<dd><p>Cauchy distribution with location parameter <var>a</var> and scale
parameter <var>b</var>. Constraints: <var>b</var> > 0, 0 < <var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-CDF_002eCHISQ"></a>Function: <em></em> <strong>CDF.CHISQ</strong> <em>(<var>x</var>, <var>df</var>)</em></dt>
<dt><a name="index-SIG_002eCHISQ"></a>Function: <em></em> <strong>SIG.CHISQ</strong> <em>(<var>x</var>, <var>df</var>)</em></dt>
<dt><a name="index-IDF_002eCHISQ"></a>Function: <em></em> <strong>IDF.CHISQ</strong> <em>(<var>p</var>, <var>df</var>)</em></dt>
<dt><a name="index-RV_002eCHISQ"></a>Function: <em></em> <strong>RV.CHISQ</strong> <em>(<var>df</var>)</em></dt>
<dt><a name="index-NCDF_002eCHISQ"></a>Function: <em></em> <strong>NCDF.CHISQ</strong> <em>(<var>x</var>, <var>df</var>, <var>lambda</var>)</em></dt>
<dd><p>Chi-squared distribution with <var>df</var> degrees of freedom. The
noncentral distribution takes an additional parameter <var>lambda</var>.
Constraints: <var>df</var> > 0, <var>lambda</var> > 0, <var>x</var> >= 0, 0 <=
<var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eEXP"></a>Function: <em></em> <strong>PDF.EXP</strong> <em>(<var>x</var>, <var>a</var>)</em></dt>
<dt><a name="index-CDF_002eEXP"></a>Function: <em></em> <strong>CDF.EXP</strong> <em>(<var>x</var>, <var>a</var>)</em></dt>
<dt><a name="index-IDF_002eEXP"></a>Function: <em></em> <strong>IDF.EXP</strong> <em>(<var>p</var>, <var>a</var>)</em></dt>
<dt><a name="index-RV_002eEXP"></a>Function: <em></em> <strong>RV.EXP</strong> <em>(<var>a</var>)</em></dt>
<dd><p>Exponential distribution with scale parameter <var>a</var>. The inverse of
<var>a</var> represents the rate of decay. Constraints: <var>a</var> > 0,
<var>x</var> >= 0, 0 <= <var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eXPOWER"></a>Function: <em></em> <strong>PDF.XPOWER</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-RV_002eXPOWER"></a>Function: <em></em> <strong>RV.XPOWER</strong> <em>(<var>a</var>, <var>b</var>)</em></dt>
<dd><p>Exponential power distribution with positive scale parameter <var>a</var>
and nonnegative power parameter <var>b</var>. Constraints: <var>a</var> > 0,
<var>b</var> >= 0, <var>x</var> >= 0, 0 <= <var>p</var> <= 1. This distribution is a
<small>PSPP</small> extension.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eF"></a>Function: <em></em> <strong>PDF.F</strong> <em>(<var>x</var>, <var>df1</var>, <var>df2</var>)</em></dt>
<dt><a name="index-CDF_002eF"></a>Function: <em></em> <strong>CDF.F</strong> <em>(<var>x</var>, <var>df1</var>, <var>df2</var>)</em></dt>
<dt><a name="index-SIG_002eF"></a>Function: <em></em> <strong>SIG.F</strong> <em>(<var>x</var>, <var>df1</var>, <var>df2</var>)</em></dt>
<dt><a name="index-IDF_002eF"></a>Function: <em></em> <strong>IDF.F</strong> <em>(<var>p</var>, <var>df1</var>, <var>df2</var>)</em></dt>
<dt><a name="index-RV_002eF"></a>Function: <em></em> <strong>RV.F</strong> <em>(<var>df1</var>, <var>df2</var>)</em></dt>
<dd><p>F-distribution of two chi-squared deviates with <var>df1</var> and
<var>df2</var> degrees of freedom. The noncentral distribution takes an
additional parameter <var>lambda</var>. Constraints: <var>df1</var> > 0,
<var>df2</var> > 0, <var>lambda</var> >= 0, <var>x</var> >= 0, 0 <= <var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eGAMMA"></a>Function: <em></em> <strong>PDF.GAMMA</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-CDF_002eGAMMA"></a>Function: <em></em> <strong>CDF.GAMMA</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-IDF_002eGAMMA"></a>Function: <em></em> <strong>IDF.GAMMA</strong> <em>(<var>p</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-RV_002eGAMMA"></a>Function: <em></em> <strong>RV.GAMMA</strong> <em>(<var>a</var>, <var>b</var>)</em></dt>
<dd><p>Gamma distribution with shape parameter <var>a</var> and scale parameter
<var>b</var>. Constraints: <var>a</var> > 0, <var>b</var> > 0, <var>x</var> >= 0, 0 <=
<var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eLANDAU"></a>Function: <em></em> <strong>PDF.LANDAU</strong> <em>(<var>x</var>)</em></dt>
<dt><a name="index-RV_002eLANDAU"></a>Function: <em></em> <strong>RV.LANDAU</strong> <em>()</em></dt>
<dd><p>Landau distribution.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eLAPLACE"></a>Function: <em></em> <strong>PDF.LAPLACE</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-CDF_002eLAPLACE"></a>Function: <em></em> <strong>CDF.LAPLACE</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-IDF_002eLAPLACE"></a>Function: <em></em> <strong>IDF.LAPLACE</strong> <em>(<var>p</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-RV_002eLAPLACE"></a>Function: <em></em> <strong>RV.LAPLACE</strong> <em>(<var>a</var>, <var>b</var>)</em></dt>
<dd><p>Laplace distribution with location parameter <var>a</var> and scale
parameter <var>b</var>. Constraints: <var>b</var> > 0, 0 < <var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-RV_002eLEVY"></a>Function: <em></em> <strong>RV.LEVY</strong> <em>(<var>c</var>, <var>alpha</var>)</em></dt>
<dd><p>Levy symmetric alpha-stable distribution with scale <var>c</var> and
exponent <var>alpha</var>. Constraints: 0 < <var>alpha</var> <= 2.
</p></dd></dl>
<dl>
<dt><a name="index-RV_002eLVSKEW"></a>Function: <em></em> <strong>RV.LVSKEW</strong> <em>(<var>c</var>, <var>alpha</var>, <var>beta</var>)</em></dt>
<dd><p>Levy skew alpha-stable distribution with scale <var>c</var>, exponent
<var>alpha</var>, and skewness parameter <var>beta</var>. Constraints: 0 <
<var>alpha</var> <= 2, -1 <= <var>beta</var> <= 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eLOGISTIC"></a>Function: <em></em> <strong>PDF.LOGISTIC</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-CDF_002eLOGISTIC"></a>Function: <em></em> <strong>CDF.LOGISTIC</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-IDF_002eLOGISTIC"></a>Function: <em></em> <strong>IDF.LOGISTIC</strong> <em>(<var>p</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-RV_002eLOGISTIC"></a>Function: <em></em> <strong>RV.LOGISTIC</strong> <em>(<var>a</var>, <var>b</var>)</em></dt>
<dd><p>Logistic distribution with location parameter <var>a</var> and scale
parameter <var>b</var>. Constraints: <var>b</var> > 0, 0 < <var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eLNORMAL"></a>Function: <em></em> <strong>PDF.LNORMAL</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-CDF_002eLNORMAL"></a>Function: <em></em> <strong>CDF.LNORMAL</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-IDF_002eLNORMAL"></a>Function: <em></em> <strong>IDF.LNORMAL</strong> <em>(<var>p</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-RV_002eLNORMAL"></a>Function: <em></em> <strong>RV.LNORMAL</strong> <em>(<var>a</var>, <var>b</var>)</em></dt>
<dd><p>Lognormal distribution with parameters <var>a</var> and <var>b</var>.
Constraints: <var>a</var> > 0, <var>b</var> > 0, <var>x</var> >= 0, 0 <= <var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eNORMAL"></a>Function: <em></em> <strong>PDF.NORMAL</strong> <em>(<var>x</var>, <var>mu</var>, <var>sigma</var>)</em></dt>
<dt><a name="index-CDF_002eNORMAL"></a>Function: <em></em> <strong>CDF.NORMAL</strong> <em>(<var>x</var>, <var>mu</var>, <var>sigma</var>)</em></dt>
<dt><a name="index-IDF_002eNORMAL"></a>Function: <em></em> <strong>IDF.NORMAL</strong> <em>(<var>p</var>, <var>mu</var>, <var>sigma</var>)</em></dt>
<dt><a name="index-RV_002eNORMAL"></a>Function: <em></em> <strong>RV.NORMAL</strong> <em>(<var>mu</var>, <var>sigma</var>)</em></dt>
<dd><p>Normal distribution with mean <var>mu</var> and standard deviation
<var>sigma</var>. Constraints: <var>b</var> > 0, 0 < <var>p</var> < 1. Three
additional functions are available as shorthand:
</p>
<dl>
<dt><a name="index-CDFNORM"></a>Function: <em></em> <strong>CDFNORM</strong> <em>(<var>x</var>)</em></dt>
<dd><p>Equivalent to CDF.NORMAL(<var>x</var>, 0, 1).
</p></dd></dl>
<dl>
<dt><a name="index-PROBIT"></a>Function: <em></em> <strong>PROBIT</strong> <em>(<var>p</var>)</em></dt>
<dd><p>Equivalent to IDF.NORMAL(<var>p</var>, 0, 1).
</p></dd></dl>
<dl>
<dt><a name="index-NORMAL"></a>Function: <em></em> <strong>NORMAL</strong> <em>(<var>sigma</var>)</em></dt>
<dd><p>Equivalent to RV.NORMAL(0, <var>sigma</var>).
</p></dd></dl>
</dd></dl>
<dl>
<dt><a name="index-PDF_002eNTAIL"></a>Function: <em></em> <strong>PDF.NTAIL</strong> <em>(<var>x</var>, <var>a</var>, <var>sigma</var>)</em></dt>
<dt><a name="index-RV_002eNTAIL"></a>Function: <em></em> <strong>RV.NTAIL</strong> <em>(<var>a</var>, <var>sigma</var>)</em></dt>
<dd><p>Normal tail distribution with lower limit <var>a</var> and standard
deviation <var>sigma</var>. This distribution is a <small>PSPP</small> extension.
Constraints: <var>a</var> > 0, <var>x</var> > <var>a</var>, 0 < <var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002ePARETO"></a>Function: <em></em> <strong>PDF.PARETO</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-CDF_002ePARETO"></a>Function: <em></em> <strong>CDF.PARETO</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-IDF_002ePARETO"></a>Function: <em></em> <strong>IDF.PARETO</strong> <em>(<var>p</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-RV_002ePARETO"></a>Function: <em></em> <strong>RV.PARETO</strong> <em>(<var>a</var>, <var>b</var>)</em></dt>
<dd><p>Pareto distribution with threshold parameter <var>a</var> and shape
parameter <var>b</var>. Constraints: <var>a</var> > 0, <var>b</var> > 0, <var>x</var> >=
<var>a</var>, 0 <= <var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eRAYLEIGH"></a>Function: <em></em> <strong>PDF.RAYLEIGH</strong> <em>(<var>x</var>, <var>sigma</var>)</em></dt>
<dt><a name="index-CDF_002eRAYLEIGH"></a>Function: <em></em> <strong>CDF.RAYLEIGH</strong> <em>(<var>x</var>, <var>sigma</var>)</em></dt>
<dt><a name="index-IDF_002eRAYLEIGH"></a>Function: <em></em> <strong>IDF.RAYLEIGH</strong> <em>(<var>p</var>, <var>sigma</var>)</em></dt>
<dt><a name="index-RV_002eRAYLEIGH"></a>Function: <em></em> <strong>RV.RAYLEIGH</strong> <em>(<var>sigma</var>)</em></dt>
<dd><p>Rayleigh distribution with scale parameter <var>sigma</var>. This
distribution is a <small>PSPP</small> extension. Constraints: <var>sigma</var> > 0,
<var>x</var> > 0.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eRTAIL"></a>Function: <em></em> <strong>PDF.RTAIL</strong> <em>(<var>x</var>, <var>a</var>, <var>sigma</var>)</em></dt>
<dt><a name="index-RV_002eRTAIL"></a>Function: <em></em> <strong>RV.RTAIL</strong> <em>(<var>a</var>, <var>sigma</var>)</em></dt>
<dd><p>Rayleigh tail distribution with lower limit <var>a</var> and scale
parameter <var>sigma</var>. This distribution is a <small>PSPP</small> extension.
Constraints: <var>a</var> > 0, <var>sigma</var> > 0, <var>x</var> > <var>a</var>.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eT"></a>Function: <em></em> <strong>PDF.T</strong> <em>(<var>x</var>, <var>df</var>)</em></dt>
<dt><a name="index-CDF_002eT"></a>Function: <em></em> <strong>CDF.T</strong> <em>(<var>x</var>, <var>df</var>)</em></dt>
<dt><a name="index-IDF_002eT"></a>Function: <em></em> <strong>IDF.T</strong> <em>(<var>p</var>, <var>df</var>)</em></dt>
<dt><a name="index-RV_002eT"></a>Function: <em></em> <strong>RV.T</strong> <em>(<var>df</var>)</em></dt>
<dd><p>T-distribution with <var>df</var> degrees of freedom. The noncentral
distribution takes an additional parameter <var>lambda</var>. Constraints:
<var>df</var> > 0, 0 < <var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eT1G"></a>Function: <em></em> <strong>PDF.T1G</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-CDF_002eT1G"></a>Function: <em></em> <strong>CDF.T1G</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-IDF_002eT1G"></a>Function: <em></em> <strong>IDF.T1G</strong> <em>(<var>p</var>, <var>a</var>, <var>b</var>)</em></dt>
<dd><p>Type-1 Gumbel distribution with parameters <var>a</var> and <var>b</var>. This
distribution is a <small>PSPP</small> extension. Constraints: 0 < <var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eT2G"></a>Function: <em></em> <strong>PDF.T2G</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-CDF_002eT2G"></a>Function: <em></em> <strong>CDF.T2G</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-IDF_002eT2G"></a>Function: <em></em> <strong>IDF.T2G</strong> <em>(<var>p</var>, <var>a</var>, <var>b</var>)</em></dt>
<dd><p>Type-2 Gumbel distribution with parameters <var>a</var> and <var>b</var>. This
distribution is a <small>PSPP</small> extension. Constraints: <var>x</var> > 0, 0 <
<var>p</var> < 1.
</p></dd></dl>
<dl>
<dt><a name="index-PDF_002eUNIFORM"></a>Function: <em></em> <strong>PDF.UNIFORM</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-CDF_002eUNIFORM"></a>Function: <em></em> <strong>CDF.UNIFORM</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-IDF_002eUNIFORM"></a>Function: <em></em> <strong>IDF.UNIFORM</strong> <em>(<var>p</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-RV_002eUNIFORM"></a>Function: <em></em> <strong>RV.UNIFORM</strong> <em>(<var>a</var>, <var>b</var>)</em></dt>
<dd><p>Uniform distribution with parameters <var>a</var> and <var>b</var>.
Constraints: <var>a</var> <= <var>x</var> <= <var>b</var>, 0 <= <var>p</var> <= 1. An
additional function is available as shorthand:
</p>
<dl>
<dt><a name="index-UNIFORM"></a>Function: <em></em> <strong>UNIFORM</strong> <em>(<var>b</var>)</em></dt>
<dd><p>Equivalent to RV.UNIFORM(0, <var>b</var>).
</p></dd></dl>
</dd></dl>
<dl>
<dt><a name="index-PDF_002eWEIBULL"></a>Function: <em></em> <strong>PDF.WEIBULL</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-CDF_002eWEIBULL"></a>Function: <em></em> <strong>CDF.WEIBULL</strong> <em>(<var>x</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-IDF_002eWEIBULL"></a>Function: <em></em> <strong>IDF.WEIBULL</strong> <em>(<var>p</var>, <var>a</var>, <var>b</var>)</em></dt>
<dt><a name="index-RV_002eWEIBULL"></a>Function: <em></em> <strong>RV.WEIBULL</strong> <em>(<var>a</var>, <var>b</var>)</em></dt>
<dd><p>Weibull distribution with parameters <var>a</var> and <var>b</var>.
Constraints: <var>a</var> > 0, <var>b</var> > 0, <var>x</var> >= 0, 0 <= <var>p</var> < 1.
</p></dd></dl>
<hr>
<div class="header">
<p>
Next: <a href="Discrete-Distributions.html#Discrete-Distributions" accesskey="n" rel="next">Discrete Distributions</a>, Up: <a href="Statistical-Distribution-Functions.html#Statistical-Distribution-Functions" accesskey="u" rel="up">Statistical Distribution Functions</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
</body>
</html>
|