Semi-Markov Chains and Hidden Semi-Markov Models toward Applications : Their use in Reliability and DNA Analysis

Semi-Markov Chains and Hidden Semi-Markov Models toward Applications : Their use in Reliability and DNA Analysis


This book is concerned with the estimation of discrete-time semi-Markov and hidden semi-Markov processes. Semi-Markov processes are much more general and better adapted to applications than the Markov ones because sojourn times in any state can be arbitrarily distributed, as opposed to the geometrically distributed sojourn time in the Markov case. Another unique feature of the book is the use of discrete time, especially useful in some specific applications where the time scale is intrinsically discrete. The models presented in the book are specifically adapted to reliability studies and DNA analysis.



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