Three-parameter Kappa distribution and its fitting to the whole monthly rainfall data of Abali station in Tehran province

Kappa distribution is a positively skewed distribution which is used in analyzing precipitation, wind speed and streamflow data. In this paper, first a three-parameter Kappa distribution that introduced by Park et al. (2009) is studied and then four different methods of estimation including Moments, L-Moments, Maximum Likelihood and Maximum Product Spacing Method are presented in order to estimate the parameters of the distribution. A simulated study is also carried out to compare performance of these estimation methods. Finally, these methods are applied to to the whole monthly rainfall data of Abali station in Tehran province.