Multivariate generalized polya distribution of order k
Multivariate generalized polya distribution of order k
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DOI：
10.1081/sta-120015009
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发表时间：
2002-01-01
影响因子：
0.8
通讯作者：
Papathanasiou, AA
中科院分区：
文献类型：
--
作者：
Tripsiannis, GA;Philippou, AN;Papathanasiou, AA
本文讨论了k阶广义Polya分布和多元广义Polya-Eggenberger分布，它们分别在（Sen，K.;贾恩河，巴西-地簇广义负二项分布。在概率模型和统计中，A。J. Medhi Festschrift on the Occasion of his 70th Birthday; Borthakur，A.C.例如，编辑; New Age International Publishers：新德里，1996; 227-241和Sen，K.;贾恩河，巴西-地多元广义Polya-Eggenberger概率模型-首次通过法Communications in Statistics-Theory and Methods 1997，26，871-884）。目前，这两个分布一般化的多元广义Polya分布的k阶通过一个适当的抽样方案和第一个通道事件。这种新的分布包括作为特殊情况的新的多元Polya分布和逆Polya分布的顺序k和多元广义负二项分布的相同顺序最近导出（Tripsiannis，G.A.; Philippou，A.N.; Papathanasiou，A.A. k阶多元广义分布医学统计技术报告#41：希腊色雷斯德谟克利特大学，2001年）。考虑了限制性情况，并指出了应用。
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.