Title Semi-Markov chains and hidden semi-Markov models toward applications : their use in reliability and DNA analysis / Vlad Stefan Barbu and Nikolaos Limnios

Published New York : Springer, 2008

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Description 1 online resource (xiii, 224 pages) : illustrations Series Lecture notes in statistics ; v. 191 Lecture notes in statistics (Springer-Verlag) ; v. 191. Contents Preface; Contents; Introduction; Discrete-Time Renewal Processes; Semi-Markov Chains; Nonparametric Estimation for Semi-Markov Chains; Reliability Theory for Discrete-Time Semi-Markov Systems; Hidden Semi-Markov Model and Estimation; Lemmas for Semi-Markov Chains; Lemmas for Hidden Semi-Markov Chains; Some Proofs; Markov Chains; Miscellaneous; Notation; References; Index Summary 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. This book concerns with the estimation of discrete-time semi-Markov and hidden semi-Markov processes Bibliography Includes bibliographical references (pages 211-220) and index Notes English Print version record Subject Markov processes. Reliability (Engineering) -- Mathematical models DNA -- Analysis -- Mathematics DNA -- Mathematical models Stochastic processes. Nucleic acids. Statistics. Public health. Medical care. Probabilities. Mathematical models. DNA. Reproducible research. Evaluation Studies as Topic Stochastic Processes Epidemiologic Research Design Investigative Techniques Nucleic Acids Statistics as Topic Mathematical Concepts Nucleic Acids, Nucleotides, and Nucleosides Epidemiologic Methods Analytical, Diagnostic and Therapeutic Techniques and Equipment Health Care Evaluation Mechanisms Quality of Health Care Public Health Phenomena and Processes Chemicals and Drugs Environment and Public Health Health Care Quality, Access, and Evaluation Delivery of Health Care Probability Markov Chains Models, Theoretical Reproducibility of Results DNA Patient Care public health. probability. mathematical models. statistics. MATHEMATICS -- Probability & Statistics -- Stochastic Processes. DNA -- Analysis -- Mathematics. DNA -- Mathematical models. Markov processes. Reliability (Engineering) -- Mathematical models. Modelos matemáticos Estadística Markov, Procesos de Stochastic processes Statistics Public health Probabilities Nucleic acids Medical care Mathematical models DNA DNA -- Mathematical models Markov processes Reliability (Engineering) -- Mathematical models Form Electronic book Author Limnios, N. (Nikolaos) ISBN 9780387731735 0387731733 0387731717 9780387731711

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