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＜電子ブック＞
Semi-Markov Chains and Hidden Semi-Markov Models toward Applications : Their Use in Reliability and DNA Analysis / by Vlad Stefan Barbu, Nikolaos Limnios
(Lecture Notes in Statistics. ISSN:21977186 ; 191)

版	1st ed. 2008.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	XIV, 226 p : online resource
著者標目	*Barbu, Vlad Stefan author Limnios, Nikolaos author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Statistics  LCSH:Security systems LCSH:Operations research LCSH:Management science LCSH:Bioinformatics FREE:Probability Theory FREE:Statistical Theory and Methods FREE:Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences FREE:Security Science and Technology FREE:Operations Research, Management Science FREE:Bioinformatics
一般注記	Discrete-Time Renewal Processes -- Semi-Markov Chains -- Non parametric Estimation for Semi-Markov Chains -- Reliability Theory for Discrete-Time Semi-Markov Systems -- Hidden Semi-Markov Model and Estimation 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. The book is mainly intended for applied probabilists and statisticians interested in semi-Markov chains theory, reliability and DNA analysis, and for theoretical oriented reliability and bioinformatics engineers. It can also serve as a text for a six month research-oriented course at a Master or PhD level. The prerequisites are a background in probability theory and finite state space Markov chains. Vlad Stefan Barbu is associate professor in statistics at the University of Rouen, France, Laboratory of Mathematics ‘Raphaël Salem.’ His research focuses basically on stochastic processes and associated statistical problems, with a particular interest in reliability and DNA analysis. He has published several papers in the field. Nikolaos Limnios is a professor in Applied Mathematics at the University of Technology of Compiègne. His research interest concerns stochastic processes and statistics with application to reliability. He is the co-author of the books: Semi-Markov Processes and Reliability (Birkhäuser, 2001 with G. Oprisan) and Stochastic Systems in Merging Phase Space (World Scientific, 2005, with V.S. Koroliuk) HTTP:URL=https://doi.org/10.1007/978-0-387-73173-5

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