pst-func 0.68

git-svn-id: svn://tug.org/texlive/trunk@16996 c570f23f-e606-0410-a88d-b1316a301751

4 files changed, 74 insertions, 5 deletions

diff --git a/Master/texmf-dist/doc/generic/pst-func/Changes b/Master/texmf-dist/doc/generic/pst-func/Changes
index c3765d66846..81721cdc330 100644
--- a/Master/texmf-dist/doc/generic/pst-func/Changes
+++ b/Master/texmf-dist/doc/generic/pst-func/Changes
@@ -1,5 +1,6 @@
 ..... pst-func.tex
-0.67  2010-02-09  - fic bug with arrows in \psPolynomial
+0.68  2010-02-11  - add Weibull distribution
+0.67  2010-02-09  - fix bug with arrows in \psPolynomial
 0.66  2010-01-26  - new optional argument for the Gini
                     coefficient of \psLorenz
 0.65  2010-01-25  - new distribution \psCauchy
diff --git a/Master/texmf-dist/doc/generic/pst-func/README b/Master/texmf-dist/doc/generic/pst-func/README
index 3538fe8df75..5c3df64feeb 100644
--- a/Master/texmf-dist/doc/generic/pst-func/README
+++ b/Master/texmf-dist/doc/generic/pst-func/README
@@ -11,7 +11,6 @@ pst-func: plotting special mathematical functions:
 -- psCumIntegral
 -- psConv
 -- psGauss
--- psGaussI (integral)
 -- psPoisson
 -- psBinomial
 -- psBinomialN
@@ -20,6 +19,7 @@ pst-func: plotting special mathematical functions:
 -- psChiIIDist
 -- psTDist for Student's t-distribution
 -- psBetaDist for Beta distribution
+-- psWeibull for Weibull distribution 
 -- psLame (Lam\`e\ Curve -- a superellipse)
 -- psThomae (popcorn function)
 -- psplotImp (plotting implicit defined functions)
@@ -37,9 +37,9 @@ TeX Frequently Asked Questions:
 
 pst-func needs pst-plot (pstricks-add) and pstricks, which should 
 be part of your local TeX installation, otherwise get it from a 
-CTAN server, f.ex. ftp://ftp.ctan.org
+CTAN server, http://mirror.ctan.org
 
 PSTricks is PostScript Tricks, the documentation cannot be run
 with pdftex, use the sequence latex->dvips->ps2pdf.
 
-%% $Id: README 82 2009-01-23 17:38:22Z herbert $
+%% $Id: README 286 2010-02-11 09:40:41Z herbert $
diff --git a/Master/texmf-dist/doc/generic/pst-func/pst-func-doc.pdf b/Master/texmf-dist/doc/generic/pst-func/pst-func-doc.pdf
index 514033fbab5..9809b471224 100644
--- a/Master/texmf-dist/doc/generic/pst-func/pst-func-doc.pdf
+++ b/Master/texmf-dist/doc/generic/pst-func/pst-func-doc.pdf
diff --git a/Master/texmf-dist/doc/generic/pst-func/pst-func-doc.tex b/Master/texmf-dist/doc/generic/pst-func/pst-func-doc.tex
index 880c2649723..d08f8bedaad 100644
--- a/Master/texmf-dist/doc/generic/pst-func/pst-func-doc.tex
+++ b/Master/texmf-dist/doc/generic/pst-func/pst-func-doc.tex
@@ -1,4 +1,4 @@
-%% $Id: pst-func-doc.tex 273 2010-01-26 18:28:55Z herbert $
+%% $Id: pst-func-doc.tex 285 2010-02-11 09:40:27Z herbert $
 \documentclass[11pt,english,BCOR10mm,DIV12,bibliography=totoc,parskip=false,
    smallheadings, headexclude,footexclude,oneside]{pst-doc}
 \usepackage[utf8]{inputenc}
@@ -1403,6 +1403,74 @@ and has the syntax (with a default setting of $s=1$ and $\mu=1$):
 
 
 \clearpage
+\subsection{Weibull distribution}
+
+In probability theory and statistics, the Weibull distribution is a continuous probability 
+distribution. The probability density function of a 
+Weibull random variable $x$ is:
+
+\begin{align}
+P(x) &= \alpha\beta^{-\alpha} x^{\alpha-1} e^{-\left(\frac{x}{\beta}\right)^\alpha}\\
+D(x) &= 1-e^{-\left(\frac{x}{\beta}\right)^\alpha}
+\end{align}
+
+or slightly different as
+
+\begin{align}
+P(x) &= \frac{\alpha}{\beta}\,x^{\alpha-1} e^{-\frac{x^\alpha}{\beta}}\\
+D(x) &= 1 - e^{-\frac{x^\alpha}{\beta}}
+\end{align}
+
+always for $x\in[0;\infty)$.
+where $\alpha > 0$ is the shape parameter and $\beta > 0$ is the scale parameter of the distribution. 
+
+$D(x)$ is the cumulative distribution function of the Weibull distribution. The values for
+$\alpha$ and $\beta$ are preset to 1, but can be changed in the usual way.
+
+The Weibull distribution is related to a number of other probability distributions; in 
+particular, it interpolates between the exponential distribution $(\alpha = 1)$ and the 
+Rayleigh distribution $(\alpha = 2)$.
+
+\begin{center}
+\psset{unit=2}
+\begin{pspicture*}(-0.5,-0.5)(2.6,2.6)
+\psaxes{->}(0,0)(2.5,2.5)[$x$,-90][$y$,180]
+\multido{\rAlpha=0.5+0.5}{5}{%
+  \psWeibull[alpha=\rAlpha]{0}{2.5}
+  \psWeibullI[alpha=\rAlpha,linestyle=dashed]{0}{2.4}}
+\end{pspicture*}
+%
+\begin{pspicture*}(-0.5,-0.5)(2.6,2.6)
+\psaxes{->}(0,0)(2.5,2.5)[$x$,-90][$y$,180]
+\multido{\rAlpha=0.5+0.5,\rBeta=0.2+0.2}{5}{%
+  \psWeibull[alpha=\rAlpha,beta=\rBeta]{0}{2.5}
+  \psWeibullI[alpha=\rAlpha,beta=\rBeta,linestyle=dashed]{0}{2.4}}
+\end{pspicture*}
+\end{center}
+
+\begin{lstlisting}
+\psset{unit=2}
+\begin{pspicture*}(-0.5,-0.5)(2.6,2.6)
+\psaxes{->}(0,0)(2.5,2.5)[$x$,-90][$y$,180]
+\multido{\rAlpha=0.5+0.5}{5}{%
+  \psWeibull[alpha=\rAlpha]{0}{2.5}
+  \psWeibullI[alpha=\rAlpha,linestyle=dashed]{0}{2.4}}
+\end{pspicture*}
+%
+\begin{pspicture*}(-0.5,-0.5)(2.6,2.6)
+\psaxes{->}(0,0)(2.5,2.5)[$x$,-90][$y$,180]
+\multido{\rAlpha=0.5+0.5,\rBeta=0.2+0.2}{5}{%
+  \psWeibull[alpha=\rAlpha,beta=\rBeta]{0}{2.5}
+  \psWeibullI[alpha=\rAlpha,beta=\rBeta,linestyle=dashed]{0}{2.4}}
+\end{pspicture*}
+\end{lstlisting}
+\psset{unit=1cm}
+
+The starting value for $x$ should always be 0 or greater, if it is
+less than 0 then the macro draws a line from (\#1,0) to (0,0) and
+starts \Lcs{psWeinbull} with 0.
+
+\clearpage
 \section{The Lorenz curve}
 
 The so-called \Index{Lorenz curve} is used in economics to describe inequality in