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2005•Journal of Hangzhou Institute of Applied EngineeringRequires access

Multinomial distribution and multi-Poisson distribution

Hu Yue

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Abstract

Research on the relationship between multinomial distribution and multi-Poisson distribution, we got the sufficient and necessary condition of Poisson distribute obeyed for the non-negative multi-independent random variable X_1,X_2,…,X_n. This paper gives a describtion for (Poisson) distribute from another aspect, explains the relationship between binomial distribution and Poisson distribution.-

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What this paper is about

Research on the relationship between multinomial distribution and multi-Poisson distribution, we got the sufficient and necessary condition of Poisson distribute obeyed for the non-negative multi-independent random variable X_1,X_2,…,X_n. This paper gives a describtion for (Poisson) distribute from another aspect, explains the relationship between binomial distribution and Poisson distribution.-

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Available abstract

Research on the relationship between multinomial distribution and multi-Poisson distribution, we got the sufficient and necessary condition of Poisson distribute obeyed for the non-negative multi-independent random variable X_1,X_2,…,X_n. This paper gives a describtion for (Poisson) distribute from another aspect, explains the relationship between binomial distribution and Poisson distribution.-

Key concepts: Multinomial distribution, Poisson distribution, Negative binomial distribution, Compound Poisson distribution, Poisson binomial distribution, Univariate distribution, Mathematics, Distribution (mathematics)

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