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

Zofia Grudzień; Dominik Szynal

Applicationes Mathematicae (1997)

  • Volume: 24, Issue: 3, page 307-314
  • ISSN: 1233-7234

Abstract

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

How to cite

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Grudzień, Zofia, and Szynal, Dominik. "Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed." Applicationes Mathematicae 24.3 (1997): 307-314. <http://eudml.org/doc/219172>.

@article{Grudzień1997,
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.},
author = {Grudzień, Zofia, Szynal, Dominik},
journal = {Applicationes Mathematicae},
keywords = {sample; record values; exponential; order statistics; Weibull distributions; uniform; samples},
language = {eng},
number = {3},
pages = {307-314},
title = {Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed},
url = {http://eudml.org/doc/219172},
volume = {24},
year = {1997},
}

TY - JOUR
AU - Grudzień, Zofia
AU - Szynal, Dominik
TI - Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed
JO - Applicationes Mathematicae
PY - 1997
VL - 24
IS - 3
SP - 307
EP - 314
AB - We characterize uniform and exponential distributions via moments of the kth record statistics. Too and Lin's (1989) results are contained in our approach.
LA - eng
KW - sample; record values; exponential; order statistics; Weibull distributions; uniform; samples
UR - http://eudml.org/doc/219172
ER -

References

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  1. [1] W. Dziubdziela and B. Kopociński, Limiting properties of the k-th record values, Appl. Math. (Warsaw) 15 (1976), 187-190. Zbl0337.60023
  2. [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. Zbl0586.62071
  3. [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. Zbl0876.62008
  4. [4] G. D. Lin, Characterizations of continuous distributions via expected values of two functions of order statistics, Sankhyā A 52 (1990), 84-90. Zbl0717.62010
  5. [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. Zbl0742.62010
  6. [6] G. D. Lin and Y. H. Too, Characterizations of uniform and exponential distributions, Statist. Probab. Lett. 7 (1989), 357-359. Zbl0666.62010

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