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.