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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