Mathematical Methods in Survival Analysis, Reliability and Quality of Life

by Huber, Catherine; Limnios, Nikolaos; Mesbah, Mounir; Nikulin, Mikhail S.

• ISBN13: 9781848210103
• ISBN10: 1848210108
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-04-25
• Publisher: Wiley-ISTE

Summary

Reliability and survival analysis are important applications of stochastic mathematics (probability, statistics and stochastic processes) that are usually covered separately in spite of the similarity of the involved mathematical theory. This title aims to redress this situation: it includes 21 chapters divided into four parts: Survival analysis, Reliability, Quality of life, and Related topics. Many of these chapters were presented at the European Seminar on Mathematical Methods for Survival Analysis, Reliability and Quality of Life in 2006.

Author Biography

Catherine Huber is an Emeritus professor at Université de Paris René Descartes.  Her research activity concerns nonparametric and semi-parametric theory of statistics and their applications in biology and medicine. She has several publications in particular in the field of survival analysis. She is the co-author and co-editor of several books in the above fields.

Nikolaos Limnios is a professor at the University of Technology of Compiègne. His research and teaching activities concern stochastic processes, statistical inference and their applications in particular in reliability and survival analysis. He is the co-author and co-editor of several books in the above fields.

Mounir Mesbah is a professor at the Université Pierre et Marie Curie, Paris 6. His research and teaching activities concern statistics and its applications in health science and medicine (biostatistics). He is the co-author of several articles and co-editor of several books in the above fields.

Mikhail Nikulin is a professor at the Université Victor Segalen, and a member of the Institute of Mathematics at Bordeaux. His research and teaching activities concern mathematical statistics and its applications in reliability and survival analysis. He is the co-author and co-editor of several books in the above fields.

Table of Contents

Part I	p. 15
Model Selection for Additive Regression in the Presence of Right-Censoring	p. 17
Non-parametric Estimation of Conditional Probabilities, Means and Quantiles under Bias Sampling	p. 33
Inference in Transformation Models for Arbitrarily Censored and Truncated Data	p. 49
Introduction of Within-area Risk Factor Distribution in Ecological Poisson Models	p. 61
Semi-Markov Processes and Usefulness in Medicine	p. 75
Bivariate Cox Models	p. 93
Non-parametric Estimation of a Class of Survival Functionals	p. 109
Approximate Likelihood in Survival Models	p. 121
Part II	p. 131
Cox Regression with Missing Values of a Covariate having a Non-proportional Effect on Risk of Failure	p. 133
Exact Bayesian Variable Sampling Plans for Exponential Distribution under Type-I Censoring	p. 151
Reliability of Stochastic Dynamical Systems Applied to Fatigue Crack Growth Modeling	p. 163
Statistical Analysis of a Redundant System with One Standby Unit	p. 179
A Modified Chi-squared Goodness-of-fit Test for the Three-parameter Weibull Distribution and its Applications in Reliability	p. 189
Accelerated Life Testing when the Hazard Rate Function has Cup Shape	p. 203
Point Processes in Software Reliability	p. 217
Part III	p. 237
Likelihood Inference for the Latent Markov Rasch Model	p. 239
Selection of Items Fitting a Rasch Model	p. 255
Analysis of Longitudinal HrQoL using Latent Regression in the Context of Rasch Modeling	p. 275
Empirical Internal Validation and Analysis of a Quality of Life Instrument in French Diabetic Patients during an Educational Intervention	p. 291
Part IV	p. 315
Deterministic Modeling of the Size of the HIV/AIDS Epidemic in Cuba	p. 317
Some Probabilistic Models Useful in Sport Sciences	p. 333
European Seminar: Some Figures	p. 353
Contributors	p. 357
Index	p. 367
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