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Optimal sequential estimation for semi-markov and markov renewal processes
Authors:Mendel Fygenson
Institution:Department of Statistics , Rutgers University , New Brunswick, NJ, 08903
Abstract:We consider the problem of obtaining efficient estimators and sampling plans for semi-Markov and Markov-renewal processes. A lower bound for the variance of an unbiased estimator of a function of the parameters is obtained under a sequential scheme and we characterize the parametric functions and sampling plans which admit minimum variance unbiased estimators.
Keywords:Markov-renewal processes  semi-Markov processes  efficient estimators  inverse-type sampling plans
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