Mathematical Methods in Survival Analysis, Reliability and Quality of Life

by Editor: Catherine Huber (Universite de Paris Rene Descartes, France); Editor: Nikolaos Limnios (University of Technology of Compiegne, France); Editor: Mounir Mesbah (Universite Pierre et Marie Curie, Paris 6, France); Editor: Mikhail Nikulin (Un

• ISBN13: 9780470393567
• ISBN10: 0470393564
• Format: eBook
• Copyright: 2010-01-01
• 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.

Table of Contents

Survival Analysis

Model selection for additive regression

Nonparametric estimation of conditional probabilities, means and quantiles

Inference in transformation models for arbitrarily censored and truncated data

Within-area distribution

Semi-Markov models in medicine

Bivariate Cox models

A nonparametric estimation of a class of survival functionals

Approximate likelihood

Reliability

Cox regression with missing values of a non-proportional covariate

Bayesian sampling plan for type-I censored exponential data

Reliability of stochastic dynamical systems applied to fatigue crack growth

Statistical analysis of a redundant system with one stand-by unit

A modified test for the three-parameter Weibull distribution

Accelerated life testing when the hazard rate function has cup shape

Software reliability

Quality of Life

Latent Markov Rasch model

Selection of items fitting a Rasch model

Longitudinal latent regression modeling

Empirical validation of a quality of life instrument

Related Topics

Deterministic modeling of the size of the HIV/AIDS epidemic in Cuba

Some probabilistic models useful in sport sciences

List of Authors

Index

Table of Contents provided by Publisher. All Rights Reserved.