Failure Rate Modelling for Reliability and Risk focuses on reliability theory and, specifically, on the failure rate (the hazard rate, the force of mortality) modelling and its generalizations, on systems operating in a random environment and on repairable systems. The failure rate is one of the crucial probabilistic characteristics for a number of disciplines; including reliability, survival analysis, risk analysis and demography.Failure Rate Modelling for Reliability and Risk presents a systematic study of the failure rate and related indices, and covers a number of important applications where the failure rate plays the major role. Applications in engineering systems are studied, together with some actuarial, biological and demographic examples.Covering material previously available only in the journal literature, Failure Rate Modelling for Reliability and Risk provides a survey of this broad and interdisciplinary subject which will be invaluable to researchers and advanced students in reliability engineering and applied statistics, as well as to demographers, econometricians, actuaries and many other mathematically oriented researchers.
Preface
Chapter 1. : Introduction
Chapter 2. : Failure Rate and Mean Remaining Lifetime
Chapter 3. : More on Exponenetial Representaion
Chapter 4. : Point Processes and Minimal Repair
Chapter 5. : Virtual Age and Imperfect Repair
Chapter 6. : Mixture Failure Rate Modelling
Chapter 7. : Limiting Behaviour of Mixture Failure Rates
Chapter 8. : Constructing the Failure Rate
Chapter 9. : Failure Rate of Software
Chapter 10. : Demographic and Biological Applications
References
Index
