Simple Parameter Estimation Technique for Three-Parameter Generalized Extreme Value Distribution
Publication: Journal of Hydrologic Engineering
Volume 12, Issue 6
Abstract
This note simplifies the widely used parameter estimator methods, namely, method of moments (MOM) and probability weighted moment (PWM) for the three-parameter generalized extreme value (GEV) distribution for improved parameter estimation. The important shape parameter of the GEV distribution used in annual maximum series and partial duration series models is expressed as a function of skewness . Validity of the approximate PWM estimates of shape and, in turn, scale and location parameters is checked using the ratio of variance and bias with simulated data, whereas the MOM-approximated estimates are tested using standard error of quantile estimates. The resulting expressions exhibit better accuracy when applied to field data of five watersheds.
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Information
Published In
Journal of Hydrologic Engineering
Volume 12 • Issue 6 • November 2007
Pages: 682 - 689
Copyright
© 2007 ASCE.
History
Received: May 17, 2004
Accepted: Jul 4, 2006
Published online: Nov 1, 2007
Published in print: Nov 2007
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