Central limit theorems for urn models

被引：77

作者：

Smythe, RT

机构：

[1] Department of Statistics, George Washington University, Washington

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1996年 / 65卷 / 01期

关键词：

generalized polya urn models; martingale central limit theorems; recursive trees;

D O I：

10.1016/S0304-4149(96)00094-4

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：

We consider central limit theory for urn models in which balls are not necessarily replaced after being drawn, giving rise to negative diagonal entries in the generating matrix. Under conditions on the eigenvalues and eigenvectors, we give results both for the contents of the urn and the number of times balls of each type are drawn.

引用

页码：115 / 137

页数：23

共 20 条

[1]

[Anonymous], 1977, URN MODELS THEIR APP

[2]

Athreya K.B., 1972, BRANCHING PROCESS

[3] LIMIT THEOREMS FOR MULTITYPE CONTINUOUS TIME MARKOV BRANCHING PROCESSES .I. CASE OF AN EIGENVECTOR LINEAR FUNCTIONAL [J].