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Distributions</A>
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<!-- MATH: \begin{displaymath}
\begin{array}{rcl}
{\tt GAUSS}(x;a,b,c) &=&
a \exp \left[-\ln 2 \left({2(x-b)\over c} \right)^2 \right] \\
\smallskip\\
{\tt GAUSS}(x,y;a,b,c,d,e,f) &=&
a \exp \left[-\ln 2 \left({(x-b)^2 \over d^2} +
{(y-c)^2 \over e^2} -
{2f(x-b)(y-c) \over d\,e} \right) \right] \\
\smallskip\\
{\tt GAUSSA}(x;a,b,c) &=&
{a \over {\sqrt(2\pi) c}}
\exp \left[- {1\over 2} \left({(x-b)\over c} \right)^2 \right] \\
\smallskip\\
{\tt IGAUSS}(x;a,b,c) &=&
a \int_{-\infty}^x \exp
\left[-\ln 2 \left({2(u-b)\over c} \right)^2 \right] du\\
\smallskip\\
{\tt IGAUSSA}(x;a,b,c) &=&
{a \over {\sqrt(2\pi) c}} \int_{-\infty}^x
\exp \left[- {1\over 2} \left({(u-b)\over c} \right)^2 \right] du \\
\smallskip\\
{\tt CAUCHY}(x;a,b,c) &=&
a {\left[ 1+\left( {2(x-b) \over c} \right)^2 \right]}^{-1} \\
\smallskip\\
{\tt LORENTZ}(x;a,b,c,d) &=&
a {\left[ 1+\left( {2(x-b) \over c} \right)^2 \right]}^{-d} \\
\smallskip\\
{\tt POISSON}(x;a,b,c) &=&
{a b^x \exp \left(-b\right)} \over {\Gamma \left( x + 1 \right) } \\
\smallskip\\
{\tt LAPLACE}(x;a,b,c) &=&
a \exp \left[ -\ln 2 \left({2\mid x-b \mid \over c} \right) \right] \\
\smallskip\\
{\tt TRIANG}(x;a,b,c) &=&
a \left( 1 - {\mid x-b \mid \over c} \right)
\end{array}
\end{displaymath} -->
<IMG
WIDTH="708" HEIGHT="745"
SRC="img302.gif"
ALT="\begin{displaymath}\begin{array}{rcl}
{\tt GAUSS}(x;a,b,c) &=&
a \exp \left[-...
...=&
a \left( 1 - {\mid x-b \mid \over c} \right)
\end{array}\end{displaymath}">
</DIV>
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<ADDRESS>
<I>Petra Nass</I>
<BR><I>1999-06-09</I>
</ADDRESS>
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