Stochastic Environmental Research and Risk Assessment

, Volume 19, Issue 4, pp 249–257

Analysis of extreme rainfall using the log logistic distribution

Authors

Original Paper

DOI: 10.1007/s00477-004-0229-x

Cite this article as:
Fitzgerald, D.L. Stoch Environ Res Ris Assess (2005) 19: 249. doi:10.1007/s00477-004-0229-x

Abstract

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.

Keywords

Log logistic distributionL-moment estimateMaximum product of spacings methodBootstrapEllipsoid of concentrationGeometric max-stable distributions

Copyright information

© Springer-Verlag 2005