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• catalog abstract ""Bayesian methods in reliability cannot be fully utilized and understood without full comprehension of the essential differences that exist between frequentist probability and subjective probability. Switching from the frequentist to the subjective approach requires that some fundamental concepts be rethought and suitably redefined." "Subjective Probability Models for Lifetimes details those differences and clarifies aspects of subjective probability that have a direct influence on modeling and drawing inference from failure and survival data. In particular, without a framework of Bayesian theory, the author considers the effects of different levels of information in the analysis of the phenomena of positive and negative aging." "The author coherently reviews and compares the various definitions and results concerning stochastic ordering, statistical dependence, reliability, and decision theory. Keeping the mathematical difficulty at a reasonable level, he offers a detailed treatment of different aspects of probability distributions for exchangeable vectors of lifetimes. This approach imparts a clear understanding of what the "probabilistic description of aging" really is, and why it is important to analyzing survival and failure data. Examples and exercises reinforce that understanding and new results suggest directions for future research."--Jacket.".
• catalog contributor b12099190.
• catalog created "c2001.".
• catalog date "2001".
• catalog date "c2001.".
• catalog dateCopyrighted "c2001.".
• catalog description ""Bayesian methods in reliability cannot be fully utilized and understood without full comprehension of the essential differences that exist between frequentist probability and subjective probability. Switching from the frequentist to the subjective approach requires that some fundamental concepts be rethought and suitably redefined." "Subjective Probability Models for Lifetimes details those differences and clarifies aspects of subjective probability that have a direct influence on modeling and drawing inference from failure and survival data. In particular, without a framework of Bayesian theory, the author considers the effects of different levels of information in the analysis of the phenomena of positive and negative aging."".
• catalog description ""The author coherently reviews and compares the various definitions and results concerning stochastic ordering, statistical dependence, reliability, and decision theory. Keeping the mathematical difficulty at a reasonable level, he offers a detailed treatment of different aspects of probability distributions for exchangeable vectors of lifetimes. This approach imparts a clear understanding of what the "probabilistic description of aging" really is, and why it is important to analyzing survival and failure data. Examples and exercises reinforce that understanding and new results suggest directions for future research."--Jacket.".
• catalog description "Exchangeability and subjective probability -- Families of exchangeable events -- Extendibility and de Finetti's theorem -- The problem of prediction -- More on infinitely extendible families -- Exchangeable random quantities -- Extendibility and de Finetti's theorem for exchangeable random variables -- The problem of prediction -- De Finetti-type theorems and parametric models -- Parametric models and prediction sufficiency -- Exchangeable lifetimes -- Positive exchangeable random quantities -- Multivariate conditional hazard rates -- Further aspects of m.c.h.r -- On the use of the m.c.h.r. functions -- Dynamic histories, total time on test statistic and total hazard transform -- M.c.h.r. functions and dynamic sufficiency -- Some concepts of dependence and aging -- One-dimensional stochastic orderings -- Stochastic monotonicity and orderings for conditional distributions -- Multivariate stochastic orderings -- Usual multivariate stochastic ordering -- Multivariate likelihood ratio ordering -- Multivariate hazard rate and cumulative hazard rate orderings -- Some properties of multivariate stochastic orderings and examples -- Some notions of dependence -- Positive dependence -- Negative dependence -- Simpson-type paradoxes and aspects of dependence in Bayesian analysis -- Likelihood-ratio comparisons between posterior distributions -- Some notions of aging -- One-dimensional notions of aging -- Dynamic multivariate notions of aging -- The case of exchangeable lifetimes -- Bayesian models of aging -- Schur survival functions.".
• catalog description "Includes bibliographical references and index.".
• catalog extent "xx, 248 p. :".
• catalog identifier "1584880600 (alk. paper)".
• catalog isPartOf "Monographs on statistics and applied probability ; 91".
• catalog issued "2001".
• catalog issued "c2001.".
• catalog language "eng".
• catalog publisher "Boca Raton : Chapman & Hall/CRC,".
• catalog subject "519.5 21".
• catalog subject "Failure time data analysis.".
• catalog subject "Probabilities.".
• catalog subject "QA276 .S66 2001".
• catalog tableOfContents "Exchangeability and subjective probability -- Families of exchangeable events -- Extendibility and de Finetti's theorem -- The problem of prediction -- More on infinitely extendible families -- Exchangeable random quantities -- Extendibility and de Finetti's theorem for exchangeable random variables -- The problem of prediction -- De Finetti-type theorems and parametric models -- Parametric models and prediction sufficiency -- Exchangeable lifetimes -- Positive exchangeable random quantities -- Multivariate conditional hazard rates -- Further aspects of m.c.h.r -- On the use of the m.c.h.r. functions -- Dynamic histories, total time on test statistic and total hazard transform -- M.c.h.r. functions and dynamic sufficiency -- Some concepts of dependence and aging -- One-dimensional stochastic orderings -- Stochastic monotonicity and orderings for conditional distributions -- Multivariate stochastic orderings -- Usual multivariate stochastic ordering -- Multivariate likelihood ratio ordering -- Multivariate hazard rate and cumulative hazard rate orderings -- Some properties of multivariate stochastic orderings and examples -- Some notions of dependence -- Positive dependence -- Negative dependence -- Simpson-type paradoxes and aspects of dependence in Bayesian analysis -- Likelihood-ratio comparisons between posterior distributions -- Some notions of aging -- One-dimensional notions of aging -- Dynamic multivariate notions of aging -- The case of exchangeable lifetimes -- Bayesian models of aging -- Schur survival functions.".
• catalog title "Subjective probability models for lifetimes / Fabio Spizzichino.".
• catalog type "text".