The Generalized Logistic distribution is an interesting alternative for extreme values modelization, like the GEV or Pearson 3 distributions (among others)
For the Generalized Logistic distribution distribution
-Estimate the parameters of the distribution for a given sample
-Compute the probability density function (pdf)
-Compute the cumulative distribution function (cdf)
-Compute the inverse of the cumulative distribution function
-Generate a random sample
The fitting of the parameters is based on the L-moment method from Hosking and Wallis (1997) :
Hosking, J., & Wallis, J. (1997). Regional Frequency Analysis: An Approach Based on L-Moments. Cambridge: Cambridge University Press. doi:10.1017/CBO9780511529443
Guillaume Talbot (2022). Generalized logistic distribution (GLO) library (https://www.mathworks.com/matlabcentral/fileexchange/91125-generalized-logistic-distribution-glo-library), MATLAB Central File Exchange. 검색됨 .
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