A multivariate generalized polya-eggenberger probability model - first passage approach
A multivariate generalized polya-eggenberger probability model - first passage approach
复制标题
多元广义 Polya-eggenberger 概率模型 - 首次通过方法
DOI：
10.1080/03610929708831955
复制
发表时间：
1997
影响因子：
0.8
通讯作者：
R. Jain
中科院分区：
文献类型：
--
作者：
Kanwar Sen;R. Jain
本文利用包含多维格点路径计数的组合方法，通过计算首次穿越事件的概率，得到了一个多元广义Polya-Eggenberger模型。该模型生成了一些重要的离散多元分布作为特殊情况下，并作为限制情况。建立了模型各阶矩之间的递推关系，从而得到了前两阶矩。
A multivariate generalized Polya - Eggenberger model has been obtained by computing the probability of a first passage event with the help of combinatorial method involving counting of multi-dimensional lattice paths. The model generates a number of important discrete multivariate distributions both as particular cases and as limiting cases. A recurrence relation among the moments of the model has been established and hence first two moments have been obtained.