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ArticleOriginal scientific text

Title

Characterizations of the inverse Weibull distribution and generalized extreme value distributions by moments of kth record values

Authors ¹, ¹

Affiliations

Department of Mathematics, Maria Curie-Skłodowska University, Pl. M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

Abstract

We give characterization conditions for the inverse Weibull distribution and generalized extreme value distributions by moments of kth record values.

Keywords

sample, record values, kth record values, order statistics, generalized extreme value distributions, inverse Weibull distribution

W. Dziubdziela and B. Kopociński, Limiting properties of the k-th record value, Zastos. Mat. 15 (1976), 187-190.
G. D. Lin, On a moment problem, Tôhoku Math. J. 38 (1986), 595-598.
P. Pawlas and D. Szynal, Relations for single and product moments of k-th record values from exponential and Gumbel distribution, J. Appl. Statist. Sci. 7 (1998), 53-62.