Comparing estimation methods for the three-parameter kappa distribution with application to precipitation data

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...