On the Bayes estimators of the parameters of inflated modified power series distributions
Małgorzata Murat ; Dominik Szynal
Discussiones Mathematicae Probability and Statistics, Tome 20 (2000), p. 189-209 / Harvested from The Polish Digital Mathematics Library
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In this paper, we study the class of inflated modified power series distributions (IMPSD) where inflation occurs at any of support points. This class includes among others the generalized Poisson,the generalized negative binomial and the lost games distributions. We derive the Bayes estimators of parameters for these distributions when a parameter of inflation is known. First, we take as the prior distribution the uniform, Beta and Gamma distribution. In the second part of this paper, the prior distribution is the generalized Pareto distribution.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:287733 
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     year = {2000},
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     zbl = {0970.62013},
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Małgorzata Murat; Dominik Szynal. On the Bayes estimators of the parameters of inflated modified power series distributions. Discussiones Mathematicae Probability and Statistics, Tome 20 (2000) pp. 189-209. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1011/

[000] [1] M. Ahsanullah, Recurrence relations for single and product moments of record values from generalized Pareto distribution, Commun. Statist.-Theory Meth. 23 (10) (1994), 2841-2852. | Zbl 0850.62118

[001] [2] H. Cramér, Mathematical Methods of Statistics, 1945.

[002] [3] P.L. Gupta, R.C. Gupta and R.C. Tripathi, Inflated modified power series distribution, Commun. Statist.-Theory Meth. 24 (9) (1995), 2355-2374.

[003] [4] K.G. Janardan, Moments of certain series distributions and their applications, J. Appl. Math. 44 (1984), 854-868. | Zbl 0556.62011

[004] [5] A.W. Kemp and C.D. Kemp, On a distribution associated with certain stochastic processes, J. Roy. Statist. Soc. Ser. B, 30 (1968), 160-163.

[005] [6] M. Murat and D. Szynal, Non-zero inflated modified power series distributions, Commun. Statist.-Theory Meth. 27 (12) (1998), 3047-3064. | Zbl 0924.62017

[006] [7] K.N. Pandey, Generalized inflated Poisson distribution, J. Scienc. Res. Banares Hindu Univ., XV (2) (1964-65), 157-162.

[007] [8] J. Pikands, Statistical inference using extreme order statistics, Ann. Statist. 3 (1) (1975), 119-131. | Zbl 0312.62038