TY - JOUR AU - Barbu, Vlad Stefan AU - Karagrigoriou, Alex AU - Makrides, Andreas PY - 2019 TI - Estimation and Reliability for a Special Type of Semi-Markov Process JF - Journal of Mathematics and Statistics VL - 15 IS - 1 DO - 10.3844/jmssp.2019.259.272 UR - https://thescipub.com/abstract/jmssp.2019.259.272 AB - This work deals with multi-state systems modelled by means of semi-Markov processes. The sojourn times are seen to be independent not identically distributed random variables and assumed to belong to one of two different general classes of distributions so that the first class is closed under maxima and the second one is closed under minima. We obtain maximum likelihood estimators of the parameters of interest under several estimation schemes and investigate their asymptotic properties. Plug-in type estimators are furnished for various quantities related to the system under study.