Journal article
First hitting probabilities for semi markov chains and estimation
We first consider a stochastic system described by an absorbing semi-Markov chain with finite state space and we introduce the absorption probability to a class of recurrent states. Afterwards, we study the first hitting probability to a subset of states for an irreducible semi-Markov chain. In the latter case, a nonparametric estimator for the first hitting probability is proposed and the asymptotic properties of strong consistency and asymptotic normality are proven.
Finally, a numerical application on a five-state system is presented to illustrate the performance of this estimator.
Language: | English |
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Year: | 2017 |
Pages: | 2435-2446 |
ISSN: | 1532415x and 03610926 |
Types: | Journal article |
DOI: | 10.1080/03610926.2015.1045080 |