Year: 2024
Type: article
Abstract: 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.
Source: Filomat
DOI: 10.2298/fil2428045b
Authors: İsmet Birbiçer, Ali Genç
Institution: Cukurova University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411449398