Failure Rate Modelling for Reliability and Risk

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.

Auteur

Dr Maxim Finkelstein is a Professor at the Department of Mathematical Statistics, University of the Free State, Republic of South Africa and a visiting researcher at the Max Planck Institute for Demographic Research, Rostock, Germany. His main research interests are; reliability, survival analysis, risk and safety modeling, applied stochastic processes, stochastic aging, stochastic ordering, and stochastics in demography.

Résumé

Failure Rate Modeling for Reliability and Risk focuses on reliability theory, and to the failure rate (hazard rate, force of mortality) modeling and its generalizations to systems operating in a random environment and to 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. The book 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. The book 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.

Contenu

Failure Rate and Mean Remaining Lifetime.- More on Exponential Representation.- Point Processes and Minimal Repair.- Virtual Age and Imperfect Repair.- Mixture Failure Rate Modelling.- Limiting Behaviour of Mixture Failure Rates.- 'Constructing' the Failure Rate.- Failure Rate of Software.- Demographic and Biological Applications.