On characterizing the Pólya distribution

Héctor M. Ramos; David Almorza; Juan A. García–Ramos

ESAIM: Probability and Statistics (2010)

  • Volume: 6, page 105-112
  • ISSN: 1292-8100

Abstract

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In this paper two characterizations of the Pólya distribution are obtained when its contagion parameter is negative. One of them is based on mixtures and the other one is obtained by characterizing a subfamily of the discrete Pearson system.

How to cite

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Ramos, Héctor M., Almorza, David, and García–Ramos, Juan A.. "On characterizing the Pólya distribution." ESAIM: Probability and Statistics 6 (2010): 105-112. <http://eudml.org/doc/104281>.

@article{Ramos2010,
abstract = { In this paper two characterizations of the Pólya distribution are obtained when its contagion parameter is negative. One of them is based on mixtures and the other one is obtained by characterizing a subfamily of the discrete Pearson system. },
author = {Ramos, Héctor M., Almorza, David, García–Ramos, Juan A.},
journal = {ESAIM: Probability and Statistics},
keywords = {Pólya distribution; hypergeometric distribution; characterization.; characterization},
language = {eng},
month = {3},
pages = {105-112},
publisher = {EDP Sciences},
title = {On characterizing the Pólya distribution},
url = {http://eudml.org/doc/104281},
volume = {6},
year = {2010},
}

TY - JOUR
AU - Ramos, Héctor M.
AU - Almorza, David
AU - García–Ramos, Juan A.
TI - On characterizing the Pólya distribution
JO - ESAIM: Probability and Statistics
DA - 2010/3//
PB - EDP Sciences
VL - 6
SP - 105
EP - 112
AB - In this paper two characterizations of the Pólya distribution are obtained when its contagion parameter is negative. One of them is based on mixtures and the other one is obtained by characterizing a subfamily of the discrete Pearson system.
LA - eng
KW - Pólya distribution; hypergeometric distribution; characterization.; characterization
UR - http://eudml.org/doc/104281
ER -

References

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  2. F. Eggenberger and G. Pólya, Über die Statistik Verketteter Vorgänge. Z. Angew. Math. Mech.3 (1923) 279-289.  Zbl49.0382.01
  3. F. Eggenberger and G. Pólya, Calcul des probabilités - sur l'interprétation de certaines courbes de fréquence. C. R. Acad. Sci. Paris187 (1928) 870-872.  Zbl54.0549.02
  4. W. Feller, On a general class of ``contagious" distributions. Ann. Math. Statist.14 (1943) 389-400.  Zbl0063.01341
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  9. N.L. Johnson and S. Kotz, Urn Models and Their Application. Wiley, New York (1977).  Zbl0352.60001
  10. C. Jordan, Sur un cas généralisé de la probabilité des épreuves répétées. C. R. Acad. Sci. Paris184 (1927) 315-317.  Zbl53.0496.01
  11. J. Ollero and H.M. Ramos, Description of a Subfamily of the Discrete Pearson System as Generalized-Binomial Distributions. J. Italian Statist. Soc.2 (1995) 235-249.  Zbl05501129
  12. J.K. Ord, On a System of Discrete Distributions. Biometrika54 (1967) 649-656.  Zbl0166.15303
  13. J.K. Ord, Families of Frequency Distributions. Griffin, London (1972).  Zbl0249.62005
  14. J. Panaretos and E. Xekalaki, On some distributions arising from certain generalized sampling schemes. Commun. Statist. Theory Meth.15 (1986) 873-891.  Zbl0612.60014
  15. J. Panaretos and E. Xekalaki, A probability distribution associated with events with multiple occurrences. Statist. Probab. Lett.8 (1989) 389-396.  Zbl0677.62013
  16. G.P. Patil and S.W. Joshi, A Dictionary and Bibliography of Discrete Distributions. Oliver & Boyd, Edinburgh (1968).  Zbl0193.18301
  17. A.N. Philippou, G.A. Tripsiannis and D.L. Antzoulakos, New Pólya and inverse Pólya distributions of order k. Commun. Statist. Theory Meth.18 (1989) 2125-2137.  Zbl0696.62020
  18. G. Pólya, Sur quelques points de la théorie des probabilités. Ann. Inst. H. Poincaré1 (1930) 117-161.  
  19. M. Skibinsky, A characterization of hypergeometric distributions. J. Amer. Statist. Assoc.65 (1970) 926-929.  Zbl0196.22403

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