Original Paper

Stochastic Environmental Research and Risk Assessment

, Volume 19, Issue 4, pp 249-257

First online:

Analysis of extreme rainfall using the log logistic distribution

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Computer-intensive methods are used to examine the fit of the log logistic distribution to annual maxima of Irish rainfall. The characteristics of the L-moment solutions are examined by using the conventional bootstrap on the data and by random sampling within the ellipse of concentration of the parameter estimates. A statistical method of examining uncertainty is provided by the maximum product of spacings solution. Factors derived from random division of an interval are proposed for estimation of short-duration falls for which no data are available.


Log logistic distribution L-moment estimate Maximum product of spacings method Bootstrap Ellipsoid of concentration Geometric max-stable distributions