ESTIMATION OF PROBABILITY OF EXTINCTION OF A MULTITYPE BRANCHING-PROCESS

被引：3

作者：

DESHMUKH, SR ^{[1
]}

KALE, MM ^{[1
]}

机构：

[1] UNIV POONA,DEPT STAT,POONA 411007,MAHARASHTRA,INDIA

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1991年 / 20卷 / 10期

关键词：

ASYMPTOTIC NORMALITY; GALTON-WATSON PROCESS; MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY OF ULTIMATE EXTINCTION; STRONG CONSISTENCY;

D O I：

10.1080/03610929108830711

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：

Maximum likelihood estimation of the probability of ultimate extinction of a possibly age dependent multitype branching process is studied when independent random samples from offspring distributions are available. In multitype Galton-Watson branching process the same problem is discussed when all the individual offspring sizes of all individuals in the first n generations are observed. In both the cases asymptotic properties of the estimators are derived.

引用

页码：3405 / 3419

页数：15

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