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

Zofia Grudzień; Dominik Szynal

Applicationes Mathematicae (1995)

  • Volume: 23, Issue: 3, page 305-318
  • ISSN: 1233-7234

Abstract

top
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.

How to cite

top

Grudzień, Zofia, and Szynal, Dominik. "Characterizations of distributions by moments of order statistics when the sample size is random." Applicationes Mathematicae 23.3 (1995): 305-318. <http://eudml.org/doc/219133>.

@article{Grudzień1995,
abstract = {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.},
author = {Grudzień, Zofia, Szynal, Dominik},
journal = {Applicationes Mathematicae},
keywords = {Poisson distribution; logarithmic series; binomial; random sample size; geometrical; order statistics; recurrence formula; uniform distribution; negative binomial; moments; characterizations; moments of order statistics},
language = {eng},
number = {3},
pages = {305-318},
title = {Characterizations of distributions by moments of order statistics when the sample size is random},
url = {http://eudml.org/doc/219133},
volume = {23},
year = {1995},
}

TY - JOUR
AU - Grudzień, Zofia
AU - Szynal, Dominik
TI - Characterizations of distributions by moments of order statistics when the sample size is random
JO - Applicationes Mathematicae
PY - 1995
VL - 23
IS - 3
SP - 305
EP - 318
AB - 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.
LA - eng
KW - Poisson distribution; logarithmic series; binomial; random sample size; geometrical; order statistics; recurrence formula; uniform distribution; negative binomial; moments; characterizations; moments of order statistics
UR - http://eudml.org/doc/219133
ER -

References

top
  1. [1] T. A. Azlarov and N. A. Volodin, Characterizations Problems Associated with the Exponential Distribution, Springer, New York, 1986. Zbl0624.62020
  2. [2] H. A. David, Order Statistics, Wiley Ser. Probab. Math. Statist., Wiley, New York, 1970. 
  3. [3] J. Galambos and S. Kotz, Characterizations of Probability Distributions. A Unified Approach with an Emphasis on Exponential and Related Models, Lecture Notes in Math. 8, Springer, Berlin, 1978. Zbl0381.62011
  4. [4] N. L. Johnson, S. Kotz and A. W. Kemp, Univariate Discrete Distributions, 2nd ed., Wiley, New York, 1992. 
  5. [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. Zbl0735.62013
  6. [6] G. D. Lin and Y. H. Too, Characterizations of uniform and exponential distributions, Statist. Probab. Lett. 7 (1989), 357-359. Zbl0666.62010
  7. [7] G. D. Lin and Y. H. Too, Characterizations of distributions via moments of order statistics when sample size is random, Southeast Asian Bull. Math. 15 (1991), 139-144. Zbl0742.62010
  8. [8] N. De Pril, Moments of a class of compound distributions, Scand. Actuar. J. 1986, 117-120. Zbl0648.62017

NotesEmbed ?

top

You must be logged in to post comments.