Mathematical statistics -- Probabilities

Indeks : p. 365 - 371 ; p. 349 - 363 ; This book provides a comprehensive overview of the mathematical and statistical aspects of risk and realibility analysis, from a Bayesian perspective. It sets out to change the way in which they think about reliability and survival analysis by casting them in the broader context of decision-making. This is achieved by : 1.) Providing a broad coverage of the diverse aspects af reliability, including: multivariate failure models, dynamic reliability, event history analysis, non-parametic Bayes, competing risks, co-operative and competing systems, and signature analysis. 2.) Covering the essentials of Bayesdian statistics and exchangeability, enabling readers who are unfamiliar with Bayesian inference to benefit from the book. 3.) Introducing the notion of "composite reliability", or the collective reliability of a population of items. 4.) Discussing the relationship between notion of realibility and survival analysis and econometrics and financial risk. The book, can most profitably be used by practitioners and research workers in realibility and survivability as a source of information, reference, and open problems. It can also form the basis of a graduate level course in reliability and risk analysis for students in statistics, biostatistics, engineering (industrial, nuclear, systems), operations researsh, and other mathematically oriented sciences, wherein the instructor could supplement the material with examples and problems.