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Subjective Probability Models for Lifetimes de Fabio Spizzichino

Subjective Probability Models for Lifetimes: Chapman & Hall/CRC Monographs on Statistics and Applied Probability

Autor Fabio Spizzichino
en Limba Engleză Paperback – 5 sep 2019
Bayesianmethodsinreliabilitycannotbefullyutilizedandunderstoodwithoutfullcomprehensionoftheessentialdifferencesthatexistbetweenfrequentistprobabilityandsubjectiveprobability.Switchingfromthefrequentisttothesubjectiveapproachrequiresthatsomefundamentalconceptsberethoughtandsuitablyredefined.SubjectiveProbabilityModelsforLifetimesdetailsthosedifferencesandclarifiesaspectsofsubjectiveprobabilitythathaveadirectinfluenceonmodelinganddrawinginferencefromfailureandsurvivaldata.Inparticular,withinaframeworkofBayesiantheory,theauthorconsiderstheeffectsofdifferentlevelsofinformationintheanalysisofthephenomenaofpositiveandnegativeaging.Theauthorcoherentlyreviewsandcomparesthevariousdefinitionsandresultsconcerningstochasticordering,statisticaldependence,reliability,anddecisiontheory.Heoffersadetailedbutaccessiblemathematicaltreatmentofdifferentaspectsofprobabilitydistributionsforexchangeablevectorsoflifetimesthatimpartsaclearunderstandingofwhatthe"probabilisticdescriptionofaging"reallyis,andwhyitisimportanttoanalyzingsurvivalandfailuredata.
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Specificații

ISBN-13: 9780367397173
ISBN-10: 036739717X
Pagini: 272
Dimensiuni: 150 x 226 x 15 mm
Greutate: 0.52 kg
Editura: Taylor & Francis Ltd (Sales)
Seria Chapman & Hall/CRC Monographs on Statistics and Applied Probability

Cuprins

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

Descriere

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Bayesian methods in reliability cannot be fully utilized without understanding 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 re-thought. This text 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.