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ArticleOriginal scientific text

Title

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

Authors 1, 1

Affiliations

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

Abstract

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

Keywords

ENG
sample, record values, exponential, order statistics, Weibull distributions, uniform

Bibliography

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  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.
Applicationes Mathematicae
1996-1997/24/3
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Pages:
307-314
Main language of publication
English
Received
1996-05-09
Accepted
1996-12-02
Published
1997
Exact and natural sciences