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

Author:   Vlad Stefan Barbu ,  Nikolaos Limnios
Publisher:   Springer-Verlag New York Inc.
Edition:   2008 ed.
Volume:   191
ISBN:  

9780387731711


Pages:   226
Publication Date:   28 August 2008
Format:   Paperback
Availability:   In Print   Availability explained
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Semi-Markov Chains and Hidden Semi-Markov Models toward Applications: Their Use in Reliability and DNA Analysis


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Overview

Here is a work that adds much to the sum of our knowledge in a key area of science today. It is concerned with the estimation of discrete-time semi-Markov and hidden semi-Markov processes. A 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.

Full Product Details

Author:   Vlad Stefan Barbu ,  Nikolaos Limnios
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2008 ed.
Volume:   191
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.760kg
ISBN:  

9780387731711


ISBN 10:   0387731717
Pages:   226
Publication Date:   28 August 2008
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

Reviews

From the reviews: Overall, this is a stimulating book. As it says, the discrete-time framework has been underused in the past in the view of the fact that much real data in practice (I would even say most) is recorded in discrete time. Also, the applications listed, particularly the DNA sequencing, are important ad timely. (Martin Crowder, International Statistical Review 2009, 77, 2) Barbu and Limnios's goal is to present a complete picture of the basic theory of finite state space semi-Markov processes in discrete time, describe its applications to reliability and DNA analysis, and obtain estimation results for hidden semi-Markov models (HSSM). ... Each chapter contains several exercises. There are five appendices that render the book self-contained. ... I highly recommend this book for applied probabilists and statisticians interested in reliability and DNA analysis, and for theoretically oriented reliability and bioinformatics engineers. (P. R. Parthasarathy, ACM Computing Reviews, March, 2009) ...this book will be useful as a reference for researchers interested in discrete-time semi-Markov and hidden semi-Markov processes... (Biometrics 65, 1312, December 2009)


From the reviews: Overall, this is a stimulating book. As it says, the discrete-time framework has been underused in the past in the view of the fact that much real data in practice (I would even say most) is recorded in discrete time. Also, the applications listed, particularly the DNA sequencing, are important ad timely. (Martin Crowder, International Statistical Review 2009, 77, 2) Barbu and Limnios's goal is to present a complete picture of the basic theory of finite state space semi-Markov processes in discrete time, describe its applications to reliability and DNA analysis, and obtain estimation results for hidden semi-Markov models (HSSM). ! Each chapter contains several exercises. There are five appendices that render the book self-contained. ! I highly recommend this book for applied probabilists and statisticians interested in reliability and DNA analysis, and for theoretically oriented reliability and bioinformatics engineers. (P. R. Parthasarathy, ACM Computing Reviews, March, 2009) !this book will be useful as a reference for researchers interested in discrete-time semi-Markov and hidden semi-Markov processes! (Biometrics 65, 1312, December 2009)


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