[pstricks] Drawing Normal Distribution Curves

Michael J. Sharpe msharpe at euclid.ucsd.edu
Thu Jun 27 19:13:30 CEST 2002

Assuming the first part of your question concerns normal distribution 
functions rather than normal density functions, the first step would 
be to make Postscript code for an approximate standard normal 
distribution function. (Postscript does not have Erf built-in.) There 
are many sources available for these. See for example the article  by 
Richard Bagby in the Jan 1995 issue of the Amer. Math. Monthly. Then 
\psplot may be used to draw normal distribution functions with 
arbitrary means and variances on the same axes. I'm not sure what 
exactly you have in mind for drawing the confidence levels, but that 
may involve finding approximations to the inverse standard normal 
distribution function that can be coded in Postscript.

At 3:33 PM -0400 6/26/02, PKohli at smc.nopworld.com wrote:
>I have been using pstricks for some time. I am interested in drawing normal
>distribution curves with different means and variances along the same axis
>(\overbar{x}). That means that  I should be able to draw these curves side
>by side (e.g., a normal curve with a mean of zero and a variance of 3, and
>a normal curve with a mean of 1, and variance of 4, along the x-axis
>representing the means). I would also like to be able to shade different
>confidence interval levels. I was wondering if there was an easier way to
>plot these curves, say by specifiying the probability distributions f(x),
>rather than plotting these curves point by point (which I tried to do and
>was too painful). I would appreciate any help.
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