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Analysis of extreme rainfall using the log logistic distribution

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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.

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  1. Met Éireann, Glasnevin Hill, Dublin 9, Ireland

    D. L. Fitzgerald

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  1. D. L. Fitzgerald
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Correspondence to D. L. Fitzgerald.

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Fitzgerald, D.L. Analysis of extreme rainfall using the log logistic distribution. Stoch Environ Res Ris Assess 19, 249–257 (2005). https://doi.org/10.1007/s00477-004-0229-x

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