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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  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.  
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  12. J.K. Ord, On a System of Discrete Distributions. Biometrika54 (1967) 649-656.  
  13. J.K. Ord, Families of Frequency Distributions. Griffin, London (1972).  
  14. J. Panaretos and E. Xekalaki, On some distributions arising from certain generalized sampling schemes. Commun. Statist. Theory Meth.15 (1986) 873-891.  
  15. J. Panaretos and E. Xekalaki, A probability distribution associated with events with multiple occurrences. Statist. Probab. Lett.8 (1989) 389-396.  
  16. G.P. Patil and S.W. Joshi, A Dictionary and Bibliography of Discrete Distributions. Oliver & Boyd, Edinburgh (1968).  
  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.  
  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.  

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