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ASYMPTOTIC TESTS FOR THE CONTINUOUS TIME MARKOV BRANCHING PROCESS WITH IMMIGRATION

 

作者: Irene L. Hudson,  

 

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

页码: 47-57

 

ISSN:0004-9581

 

年代: 1983

 

DOI:10.1111/j.1467-842X.1983.tb01195.x

 

出版商: Blackwell Publishing Ltd

 

关键词: Asymptotic tests;Score and likelihood‐ratio test statistic;Continuous time Markov branching process with immigration

 

数据来源: WILEY

 

摘要:

SummaryThis paper presents limit distributions for the modified score and the likelihood‐ratio (LR) statistic for testing a composite hypothesis involving the split intensity and mean of the offspring distribution of the supercritical continuous time Markov branching process allowing immigration (CBPI). The immigration intensity and mean are treated as nuisance parameter

 

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