Bayes' Estimation of the Number of Component Processes of a Superimposed Process

27 July 1996

journal article
research article
Published by Cambridge University Press (CUP) in Probability in the Engineering and Informational Sciences

Vol. 10 (3) , 443-461
https://doi.org/10.1017/s0269964800004460

Abstract

We consider Bayes' estimation of the number of independent homogeneous Poisson processes of a superimposed process with unknown rates. The estimation of the total rate of the undetected processes is also considered. Exact posterior distributions are obtained. Monotonicity and asymptotic properties of the Bayes' estimator are also discussed.

Keywords

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