REMARKS ON OPTIMAL INFERENCE FOR MARKOV BRANCHING PROCESSES: A SEQUENTIAL APPROACH
- 1 April 1983
- journal article
- Published by Wiley in Australian Journal of Statistics
- Vol. 25 (1) , 35-46
- https://doi.org/10.1111/j.1467-842x.1983.tb01194.x
Abstract
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.Keywords
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