MULTIVARIATE GENERALIZED POLYA DISTRIBUTION OF ORDER k

An order k (or cluster) generalized Polya distribution and a multivariate generalized Polya-Eggenberger one where derived in (Sen, K.; Jain, R. Cluster Generalized Negative Binomial Distribution. In Probability Models and Statistics, A. J. Medhi Festschrift on the Occasion of his 70th Birthday; Bort...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2002-01, Vol.31 (11), p.1899-1912
Main Authors: Tripsiannis, Gregory A., Philippou, Andreas N., Papathanasiou, Afroditi A.
Format: Article
Language:English
Subjects:
60C5
AMS 1991 Subject Classifications: 62E15
Combinatorial probability
Distribution theory
Exact sciences and technology
Generalized negative binomial
Inverse Polya
Limiting cases
Mathematics
Mean
Multivariate analysis
Multivariate distributions of order k
Poisson
Polya
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Statistics
Variance-covariance
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Summary:An order k (or cluster) generalized Polya distribution and a multivariate generalized Polya-Eggenberger one where derived in (Sen, K.; Jain, R. Cluster Generalized Negative Binomial Distribution. In Probability Models and Statistics, A. J. Medhi Festschrift on the Occasion of his 70th Birthday; Borthakur, A.C. et al., Eds.; New Age International Publishers: New Delhi, 1996; 227-241 and Sen, K.; Jain, R. A Multivariate Generalized Polya-Eggenberger Probability Model-First Passage Approach. Communications in Statistics-Theory and Methods 1997, 26, 871-884). Presently, both distributions are generalized to a multivariate generalized Polya distribution of order k by means of an appropriate sampling scheme and a first passage event. This new distribution includes as special cases new multivariate Polya and inverse Polya distributions of order k and the multivariate generalized negative binomial distribution of the same order derived recently in (Tripsiannis, G.A.; Philippou, A.N.; Papathanasiou, A.A. Multivariate Generalized Distributions of Order k. Medical Statistics Technical Report #41: Democritus University of Thrace, Greece, 2001). Limiting cases are considered and applications are indicated.
ISSN:0361-0926
1532-415X
DOI:10.1081/STA-120015009