Characterizations of power distributions via moments of order statistics and record values

• Autorzy: Z. Grudzień , D. Szynal
• Języki publikacji: EN

Abstrakty

EN

Power distributions can be characterized by equalities involving three moments of order statistics. Similar equalities involving three moments of k-record values can also be used for such a characterization. The case of samples with random sizes is also considered.

Słowa kluczowe

EN

power; sample; uniform distributions; record values

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1999
• Tom: 26
• Numer: 4
• Strony: 467-475

Daty

wydano

1999

otrzymano

1999-05-07

poprawiono

1999-07-12

Twórcy

autor

Z. Grudzień

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

autor

D. Szynal

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

Bibliografia

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• [2] H. A. David, Order Statistics in Probability and Mathematical Statistics, Wiley, 1970.
• [3] W. Dziubdziela and B. Kopociński, Limiting properties of the kth record values, Zastos. Mat. 15 (1976), 187-190.
• [4] Z. Grudzień and D. Szynal, Characterizations of distributions by moments of order statistics when the sample size is random, Appl. Math. (Warsaw) 23 (1995), 305-318.
• [5] Z. Grudzień and D. Szynal, Characterization of continuous distributions in terms of moments of extremal statistics, J. Math. Sci. 81 (1996), 2912-2936.
• [6] Z. Grudzień and D. Szynal, Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed, Appl. Math. (Warsaw) 24 (1997), 307-314.
• [7] G. D. Lin, Characterizations of distribution via moments of order statistics: A survey and comparison of methods, in: Statistical Data Analysis and Inference, Y. Dodge (ed.), North-Holland, 1989, 297-307.
• [8] Y. H. Too and G. D. Lin, Characterizations of uniform and exponential distributions, Statist. Probab. Lett. 7 (1989), 357-359.
• [9] G. D. Lin and Y. H. Too, Characterization of distributions via moments of order statistics when sample size is random, Southeast Asian Bull. Math. 15 (1991), 139-144.