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REMARKS ON OPTIMAL INFERENCE FOR MARKOV BRANCHING PROCESSES: A SEQUENTIAL APPROACH

 

作者: I. V. Basawa,   Niels Becker,  

 

期刊: Australian Journal of Statistics  （WILEY Available online 1983）
卷期: Volume 25, issue 1  

页码: 35-46

 

ISSN:0004-9581

 

年代: 1983

 

DOI:10.1111/j.1467-842X.1983.tb01194.x

 

出版商: Blackwell Publishing Ltd

 

关键词: Branching‐diffusion;Galton‐Watson process;Markov‐branching process;Minimum variance unbiased estimation;Nuisance parameters;Stopping rules;Threshold theorem;Uniformly most powerful tests

 

数据来源: WILEY

 

摘要:

SummaryUse of a suitable stopping rule yields exact uniformly most powerful tests and minimum variance unbiased estimators of various parameters of a Markov branching model with or without immigration. The population model discussed includes the pure birth, simple epidemic, immigration‐death, M/M/ 1 queue, linear birth‐death and a branching diffusion process, among others, as special ca

 

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