Extreme Values, Invariance, and Choice Probabilities

Description

The following plot sets are available for Extreme Values, Invariance, and Choice Probabilities, Lars-Göran Mattsson, Jörgen Weibull. and Per Olov Lindberg.

Gumbel Distribution Gumbel distribution
Parameters: v = 1, β = 1
Weibull Distribution Weibull distribution
Parameters: v = 1, β = 1
Weibull Distribution Weibull distribution
Parameters: v = 1, β = 5
Weibull Distribution Weibull distribution
Parameters: v = 1, β = 0.5
Fréchet Distribution Fréchet distribution
Parameters: v = 1, β = 1
Fréchet Distribution Fréchet distribution
Parameters: v = 1, β = 5
Fréchet Distribution Fréchet distribution
Parameters: v = 1, β = 0.5
Cauchy Distribution Cauchy distribution
Parameters: γ = 1, x0 = 1
Gaussian Distribution Gaussian distribution
Parameters: μ = 0, σ2 = 1

You can also download the source archive for these pages. You'll need a UNIX machine (uses make) with difft, imagemagick, wdg-validator, ffmpeg, and gnuplot installed.

Updates

07-03-2011: added Gaussian distribution.

03-03-2011: added Cauchy distribution.

28-02-2011: now using difft to on-the-fly compute derivatives instead of depending on off-line alternatives. Also added several more alternative-parameter plots for the Weibull and Fréchet distributions.

24-02-2011: added Fréchet and Weibull distributions. Re-write most of the infrastructure (depends heavily on gnuplot instead of hand-rolled equations).

02-02-2011: added more plots of Gumbel distribution, including PostScript (EPS) colour and monochrome versions of plots, and the full archive of movie-frame stills.

24-01-2011: initial plots of Gumbel distribution.

Kristaps Dzonsons, $Date: 2011/03/08 11:13:50 $