Abstract

ABSTRACT The aim of this paper is to compare some parameter estimation methods for the three-parameter kappa distribution, which is used in analysing precipitation, wind speed and streamflow data in hydrology. These methods include: method of L-moments (LM), maximum likelihood (ML), maximum product of spacings (MPS), location and scale parameters free maximum likelihood (LSPF), location parameter free maximum likelihood (LPF) and shrinkage estimation (SH). To compare the performance of these methods, some Monte Carlo simulation studies are applied. To demonstrate the usefulness of the three-parameter kappa distribution and its applications to hydrology, statistical analyses of two precipitation datasets are presented.

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