{"title":"The structure of trivariate Poisson distribution","authors":"K. Kawamura","doi":"10.2996/KMJ/1138847374","DOIUrl":null,"url":null,"abstract":"In this paper we discuss the structure of trivariate Poisson distribution. In the first section usual univariate Poisson distribution and bivariate general Poisson distribution [2] are stated. It is stated in section 2 the main result of this paper that is, the structure of trivariate Poisson distribution. The discussion is constructed by the three parts 2.1. definition of the trivariate Bernoulli distribution 2.2. definition of the trivariate binomial distribution 2.3. definition of the trivariate Poisson distribution and the relation of the trivariate Poisson distribution and the trivariate binomial distribution. In the part (3) some characters of the trivariate Poisson distribution and the notion of the generalization to the multivariate Poisson distribution are stated.","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kodai Mathematical Seminar Reports","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2996/KMJ/1138847374","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
In this paper we discuss the structure of trivariate Poisson distribution. In the first section usual univariate Poisson distribution and bivariate general Poisson distribution [2] are stated. It is stated in section 2 the main result of this paper that is, the structure of trivariate Poisson distribution. The discussion is constructed by the three parts 2.1. definition of the trivariate Bernoulli distribution 2.2. definition of the trivariate binomial distribution 2.3. definition of the trivariate Poisson distribution and the relation of the trivariate Poisson distribution and the trivariate binomial distribution. In the part (3) some characters of the trivariate Poisson distribution and the notion of the generalization to the multivariate Poisson distribution are stated.