On characterization of distributions by expectations of transformed generalized order statistics

• Autorzy: Pawlas P. , Rychlik T. , Szynal D.
• Języki publikacji: EN

Abstrakty

EN

We generalize results of Swanepoel [10] on the characterization of distributions by expectations of transformed order statistics using lower generalized order statistics. In particular we characterize continuous distributions via expectations of kth lower record values.

Słowa kluczowe

EN

kth lower record; lower generalized order statistics; complete sequence of functions

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 1
• Strony: 239--245
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Pawlas P.

• Mathematical Institute, The Polish Academy of Science, ul. Śniadeckich 8, 00-950 Warszawa, Poland

autor

Rychlik T.

• Mathematical Institute, The Polish Academy of Science, ul. Chopina 12, 87-100 Toruń, Poland

autor

Szynal D.

• Mathematical Institute, Marie Curie-Sklodowska University, 20-031 Lublin, Poland

Bibliografia

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• [2] J. S. Huang, J. S. Hwang, (1975), L1-completeness of a class of beta densities, Statistical Distributions in Scientific Work 3, 137-141, Reidel, Dordrecht.
• [3] G. D. Lin, On a moment problem, Tohoku Math. J. 38 (1986), 595-598.
• [4] J. S. Hwang, A note on Bernstein and Müntz-Szasz theorems with applications to the order statistics, Ann. Inst. Statist. Math. 30 (1978), 167-176.
• [5] J. S. Hwang, G. D. Lin, On a generalized moment problem II, Proc. Amer. Soc. 91 (1984), 577-580.
• [6] U. Kamps, (1995), A Concept of Generalized Order Statistics, B. G. Teubner, Stuttgart.
• [7] U. Kamps, A concept of generalized order statistics, J. Statist. Plann. Inference 48 (1995), 1-23.
• [8] P. Pawlas and D. Szynal, Relations for single and product moments of kth record values from exponential and Gumbel distributions, J. Appl. Statist. Science 7 (1999), 53-62.
• [9] P. Pawlas and D. Szynal, Recurrence relations for single and product moments of lower generalized order statistics from inverse Weibull distribution, Demonstratio Math. 24 (2001), 353-358.
• [10] J. W. H. Swanepoel, (2001), A note on the characterization of distributions by expectations of transformed order statistics, submitted.