Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed

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

Abstrakty

EN

We characterize uniform and exponential distributions via moments of the kth record statistics. Too and Lin's (1989) results are contained in our approach.

Słowa kluczowe

EN

sample; record values; exponential; order statistics; Weibull distributions; uniform

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1996-1997
• Tom: 24
• Numer: 3
• Strony: 307-314

Daty

wydano

1997

otrzymano

1996-05-09

poprawiono

1996-12-02

Twórcy

autor

Zofia Grudzień

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

autor

Dominik Szynal

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

Bibliografia

• [1] W. Dziubdziela and B. Kopociński, Limiting properties of the k-th record values, Appl. Math. (Warsaw) 15 (1976), 187-190.
• [2] Z. Grudzień and D. Szynal, On the expected values of k-th record values and associated characterizations of distributions, in: Prob. Statist. Decision Theory, Proc. 4th Pannonian Sympos. Math. Statist., Reidel, 1985, 119-127.
• [3] Z. Grudzień and D. Szynal, Characterizations of distributions in terms of record statistics with random index, Discuss. Math. Algebra Stochastic Methods 16 (1996), 1-9.
• [4] G. D. Lin, Characterizations of continuous distributions via expected values of two functions of order statistics, Sankhyā A 52 (1990), 84-90.
• [5] G. D. Lin and Y. H. Too, Characterizations of distributions via moments of order statistics when sample size is random, SEA Bull. Math. 15 (1991), 139-144.
• [6] G. D. Lin and Y. H. Too, Characterizations of uniform and exponential distributions, Statist. Probab. Lett. 7 (1989), 357-359.