Applied Nonparametric Statistics in Reliability

This volume focuses on the latest statistical methods used to estimate the performance measures of reliability systems that operate under different conditions. It includes numerous techniques such as nonparametric estimation and lifetime regression analysis.

Nonparametric statistics has probably become the leading methodology for researchers performing data analysis. It is nevertheless true that, whereas these methods have already proved highly effective in other applied areas of knowledge such as biostatistics or social sciences, nonparametric analyses in reliability currently form an interesting area of study that has not yet been fully explored. Applied Nonparametric Statistics in Reliability is focused on the use of modern statistical methods for the estimation of dependability measures of reliability systems that operate under different conditions. The scope of the book includes: smooth estimation of the reliability function and hazard rate of non-repairable systems; study of stochastic processes for modelling the time evolution of systems when imperfect repairs are performed; nonparametric analysis of discrete and continuous time semi-Markov processes; isotonic regression analysis of the structure function of a reliability system, and lifetime regression analysis. Besides the explanation of the mathematical background, several numerical computations or simulations are presented as illustrative examples. The corresponding computer-based methods have been implemented using R and MATLAB®. A concrete modelling scheme is chosen for each practical situation and, in consequence, a nonparametric inference procedure is conducted. Applied Nonparametric Statistics in Reliability will serve the practical needs of scientists (statisticians and engineers) working on applied reliability subjects.

Discusses the use of modern statistical methods for the estimation of the performance measures of reliability systems that operate under different conditions Presents some numerical or simulation methods as illustrative examples where computer-based methods are implemented Selects a concrete modelling scheme for each practical situation and conducts a nonparametric inference procedure Includes supplementary material: sn.pub/extras

Autorentext

M. Luz Gámiz is an associate professor in the Department of Statistics and Operational Research at the University of Granada, Granada, Spain.

K. B. Kulasekera is a professor and graduate program coordinator in the Department of Mathematical Sciences at Clemson University, Clemson, USA.

Nikolaos Limnios is a professor at the Université de Technologie de Compiègne, Compiègne, France.

Bo Henry Lindqvist is a professor of statistics in the Department of Mathematical Sciences at the Norwegian University of Science and Technology, Trondheim, Norway.

Inhalt

1. Lifetime Data.- 2. Models for Perfect Repair.- 3. Models for Minimal Repair.- 4. Models for Imperfect Repair.- 5. Systems with Multi-components.- 6. Reliability of SemiMarkov Systems.- 7. Hazard Regression Analysis.