On moments of order statistics from a kappa distribution

OpenAlex İngilizce

The kappa distribution, known as K3D, is a skewed generalization of the well-known logistic distribution and has many useful applications in modelling extreme value events occurred usually in hydrology and environmental sciences. The distribution also nests the Gumbel distribution in the limiting case of its shape parameter. In this paper, we consider the order statistics from the distribution and derive expressions and relations for both single and product moments of order statistics in computable forms. These relations can be used effectively in the computation of higher moments given the lower order ones. The relations also generalize those relations for the logistic distribution. The moment tables obtained can be used in the computation of the location-scale parameter estimation.