Journal
JOURNAL OF NONPARAMETRIC STATISTICS
Volume 18, Issue 7-8, Pages 483-498Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10485250701261913
Keywords
semi-Markov chain; discrete-time semi-Markov kernel; reliability; availability; nonparametric estimation; asymptotic properties
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We consider a discrete-time semi-Markov process, with a finite state space. Taking a censored history, we obtain empirical estimators for the semi-Markov kernel, semi-Markov transition function, reliability and availability. We study the strong consistency and the asymptotic normality for each estimator.
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