%0 Journal Article %T ESTIMATION OF THE STATIONARY DISTRIBUTION OF A SEMI-MARKOV CHAIN %A Vlad Stefan Barbu %A Jan Bulla %A Antonello Maruotti %J Journal of Reliability and Statistical Studies %D 2012 %I Ankur Printing Palace %X This article is concerned with the estimation of the stationary distribution of a discretetimesemi-Markov process. After briefly presenting the discrete-time semi-Markov setting, wepropose an estimator of the associated stationary distribution. The main results concern theasymptotic properties of this estimator, as the sample size becomes large. A numerical exampleillustrates the asymptotic properties of the estimators. %K semi-Markov chains %K stationary distribution %K nonparametric estimation %K asymptotic properties. %U http://www.jrss.in/data/5S02.pdf