Characterizations of distributions by moments of order statistics when the sample size is random

• Autorzy: Zofia Grudzień , Dominik Szynal
• Języki publikacji: EN

Abstrakty

EN

We give characterizations of the uniform distribution in terms of moments of order statistics when the sample size is random. Special cases of a random sample size (logarithmic series, geometrical, binomial, negative binomial, and Poisson distribution) are also considered.

Słowa kluczowe

EN

Poisson distribution; logarithmic series; binomial; random sample size; geometrical; order statistics; recurrence formula; uniform distribution; negative binomial; moments

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1995-1996
• Tom: 23
• Numer: 3
• Strony: 305-318

Daty

wydano

1995

otrzymano

1994-09-01

poprawiono

1994-12-22

Twórcy

autor

Zofia Grudzień

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

autor

Dominik Szynal

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

Bibliografia

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• [4] N. L. Johnson, S. Kotz and A. W. Kemp, Univariate Discrete Distributions, 2nd ed., Wiley, New York, 1992.
• [5] G. D. Lin, Characterizations of distributions via moment of order statistics. A survey and comparison of methods, in: Statistical Data Analysis and Inference, Y. Dodge (ed.), North-Holland, Amsterdam, 1989, 297-307.
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