Markov Models With Covariate Dependence for Repeated Measures First Edition by Ataharul Islam, Rafiqul Islam Chowdhury, Shahariar Huda ISBN 978-1604569773 1604569778

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Product details: 

ISBN 10: 1604569778

ISBN 13: 978-1604569773

Author:   M. Ataharul Islam, Rafiqul Islam Chowdhury, Shahariar Huda

During the recent past, there has been a great deal of interest in solving problems of repeated measures data employing the Markov chain models. Most of the researchers and users of such techniques are only transition probabilities of various orders to show relationships among various states. However, in the recent past, there are attempts to include covariates in order to analyze the transition probabilities.Due to lack of a book on this topic, it is difficult for the researchers, students, and other users to have a thorough understanding in applying the methods based on sound knowledge. In addition, there is a lack of suitable software to handle repeated measures for Markov model applications. The main purpose of the book is to provide a theoretical base to the readers who will be willing to use these techniques for real life situations as well as for those who intend to continue advanced research in this field. This book provides a comprehensive discussion and theoretical details of the techniques in this field along with their estimation and test procedures, application of the techniques to real life problems, and the computer programs for using the techniques.

Table of contents: 

1. Preface

2. Repeated Measures Data

3. Markov Chains: Some Preliminaries

4. Generalized Linear Models and Logistic Regression

5. Covariate Dependent Two State First Order Markov Model

6. Covariate Dependent Two State Second Order Markov Model

7. Covariate Dependent Two State Higher Order Markov Model

8. Multistate First Order Markov Model with Covariate Dependence

9. Multistate Markov Model of Higher Order with Covariate Dependence

10. An Alternative Formulation Based on Chapman-Kolmogorov Equation

11. Additional Inference Procedures

12. Generalized Linear Model Formulation of Higher Order Markov Models

13. Marginal and Conditional Models Generalized Linear Model

14. Index

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Tags: Ataharul Islam, Rafiqul Islam Chowdhury, Shahariar Huda, Markov Models, Repeated Measures