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REMARKS ON OPTIMAL INFERENCE FOR MARKOV BRANCHING PROCESSES: A SEQUENTIAL APPROACH
Author(s) -
Basawa I. V.,
Becker Niels
Publication year - 1983
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1983.tb01194.x
Subject(s) - birth–death process , branching process , inference , branching (polymer chemistry) , estimator , markov chain , variance (accounting) , queue , population , markov process , mathematics , simple (philosophy) , econometrics , computer science , statistics , demography , economics , artificial intelligence , philosophy , materials science , accounting , epistemology , sociology , composite material , programming language
Summary Use 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 cases.