Catherine Huber & Nikolaos Limnios 
Mathematical Methods in Survival Analysis, Reliability and Quality of Life 

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.

Table of Content

Part 1: Survival Analysis.

Chapter 1. Model selection for additive regression (E. Brunel and F. Comte).

Chapter 2. Nonparametric estimation of conditional probabilities, means and quantiles (O. Pons).

Chapter 3. Inference in transformation models for arbitrarily censored and truncated data (F. Vonta, C. Huber).

Chapter 4. Within-area distribution (L. Fortunato et al).

Chapter 5. Semi-Markov models in medicine (E. Mathieu-Dupas, C. Gras-Aygon, J-P. Daures).

Chapter 6. Bivariate Cox models (M. Broniatowski, A. Depire, Y. Ritov).

Chapter 7. A nonparametric estimation of a class of survival functionals
(B. Abdous).

Chapter 8. Approximate likelihood (H. Läuter).

Part 2: Reliability.

Chapter 9. Cox regression with missing values of a non-proportional covariate
(J-F. Dupuy, E. Leconte).

Chapter 10. Bayesian sampling plan for type-I censored exponential data
(C-T. Lin, Y-L. Huang, N. Balakrishnan).

Chapter 11. Reliability of stochastic dynamical systems applied to fatigue crack growth (J. Chiquet and N. Limnios).

Chapter 12. Statistical analysis of a redundant system with one stand-by unit
(V. Bagdonavicius and I. Masiulaityte, M. Nikulin).

Chapter 13. A modified test for the three-parameter Weibull distribution
(V. Voinov, R. Alloyarova and N. Pya).

Chapter 14. Accelerated life testing when the hazard rate function has cup shape (V. Bagdonavicius, L. Clerjaud, M. Nikulin).

Chapter 15. Software reliability (J. Ledoux).

Part 3: Quality of Life.

Chapter 16. Latent Markov Rasch model (F. Bartolucci, F. Pennoni, M. Lupparelli).

Chapter 17. Selection of items fitting a Rasch model (J-B. Hardouin, M. Mesbah).

Chapter 18. Longitudinal latent regression modeling (S. Bacci).

Chapter 19. Empirical validation of a quality of life instrument (J. Chwalow et al).

Part 4: Related Topics.

Chapter 20. Deterministic modeling of the size of the HIV/AIDS epidemic in Cuba (R. Lounes, H. de Arazoza, Y. H.Hsieh, J. Joanes).

Chapter 21. Some probabilistic models useful in sport sciences
(L. Gerville-Réache, M. Nikulin, S. Orazio, N. Paris, V. Rosa).

List of Authors.

Index.

About the author

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.