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Semi-Markov Chains and Hidden Semi-Markov Models toward Applications : Their use in Reliability and DNA Analysis / by Nikolaos Limnios, Vlad Stefan Barbu
(Lecture Notes in Statistics ; 191)

データ種別 電子ブック
出版者 New York, NY : Springer New York
出版年 2008
本文言語 英語
大きさ XIV, 226 p : online resource

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URL 電子ブック


EB0116525

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内容注記 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
一般注記 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)
著者標目 *Limnios, Nikolaos author
Barbu, Vlad Stefan author
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Bioinformatics
LCSH:Operations research
LCSH:Management science
LCSH:Probabilities
LCSH:Statistics
LCSH:Quality control
LCSH:Reliability
LCSH:Industrial safety
FREE:Mathematics
FREE:Probability Theory and Stochastic Processes
FREE:Statistical Theory and Methods
FREE:Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
FREE:Quality Control, Reliability, Safety and Risk
FREE:Operations Research, Management Science
FREE:Bioinformatics
分 類 DC23:519.2
巻冊次 ISBN:9780387731735 REFWLINK
ISBN 9780387731735
URL http://dx.doi.org/10.1007/978-0-387-73173-5
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