Subjective Probability Models for Lifetimes: 1st Edition (Paperback) book cover

Subjective Probability Models for Lifetimes

1st Edition

By Fabio Spizzichino

Chapman and Hall/CRC

272 pages

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Paperback: 9780367397173
pub: 2019-09-05
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pub: 2001-06-28
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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, within 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. He offers a detailed but accessible mathematical treatment of different aspects of probability distributions for exchangeable vectors of lifetimes that imparts a clear understanding of what the "probabilistic description of aging" really is, and why it is important to analyzing survival and failure data.

Table of Contents

Exchangeability and Subjective Probability. Exchangeable lifetimes. Some Concepts of Dependence and Aging. Bayesian Properties of Aging. Bayesian Decisions, Orderings, and Majorization.

About the Author

Spizzichino, Fabio

About the Series

Chapman & Hall/CRC Monographs on Statistics and Applied Probability

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Subject Categories

BISAC Subject Codes/Headings:
MAT029000
MATHEMATICS / Probability & Statistics / General
MAT029010
MATHEMATICS / Probability & Statistics / Bayesian Analysis