ON RECURRENCE RELATIONS FOR THE PROBABILITY FUNCTION OF MULTIVARIATE GENERALIZED POISSON-DISTRIBUTION

被引:13
作者
KANO, K
KAWAMURA, K
机构
[1] MITSUI SHIN INFORMAT SYST CO LTD,TOKYO 153,JAPAN
[2] TOKYO INST TECHNOL,TOKYO 152,JAPAN
关键词
MULTIVARIATE DISCRETE DISTRIBUTIONS; GENERALIZED MULTIVARIATE POISSON DISTRIBUTIONS; RECURRENCE RELATIONS;
D O I
10.1080/03610929108830490
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Multivariate Poisson distribution is a well known distribution in multivariate discrete distributions. The author: Kawamura had discussed around the distribution in [1], [2] and shown recurrence relations for the distribution in [3], [4]. [GRAPHICS] These are the recurrence relations in bivariate case, see [3], [4]. In this paper it will be discussed that a similar relation also holds in the case of generalized multivariate distribution. A relation between algebraic structure of the range space and its probability function concerning the distribution will be investigated in detail, [GRAPHICS]
引用
收藏
页码:165 / 178
页数:14
相关论文
共 5 条
[1]  
KAWAMURA K, 1985, KODAI MATH J, P70
[2]  
KAWAMURA K, 1988, KODAI MATH J, P280
[3]  
KAWAMURA K, 1987, KODAI MATH J, P231
[4]  
KAWAMURA K, 1979, KODAI MATH J, P337
[5]  
KAWAMURA K, 1980, KODAI MATH J, P429