A Weibull Wearout Test: Full Bayesian Approach

, , &
Reliability and Engineering Statistics 5:287-300 (2001)
  Copy   BIBTEX

Abstract

The Full Bayesian Significance Test (FBST) for precise hypotheses is presented, with some applications relevant to reliability theory. The FBST is an alternative to significance tests or, equivalently, to p-ualue.s. In the FBST we compute the evidence of the precise hypothesis. This evidence is the probability of the complement of a credible set "tangent" to the sub-manifold (of the para,rreter space) that defines the null hypothesis. We use the FBST in an application requiring a quality control of used components, based on remaining life statistics.

Categories

Keywords

Reprint years

Links

PhilArchive

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

The Problem of Separate Hypotheses via Mixtures Models.Julio Michael Stern, Marcelo de Souza Lauretto, Silvio Rodrigues Faria & Carlos Alberto de Braganca Pereira - 2007 - AIP Conference Proceedings 954:268-275.
Can a Significance Test Be Genuinely Bayesian?Julio Michael Stern, Carlos Alberto de Braganca Pereira & Sergio Wechsler - 2008 - Bayesian Analysis 3 (1):79-100.
Unit Roots: Bayesian Significance Test.Julio Michael Stern, Marcio Alves Diniz & Carlos Alberto de Braganca Pereira - 2011 - Communications in Statistics 40 (23):4200-4213.
FBST for a Generalized Poisson Distribution.Julio Michael Stern, Paulo do Canto Hubert & Marcelo de Souza Lauretto - 2009 - AIP Conference Proceedings 1193:210-217.
In praise of ecumenical Bayes.Michael D. Lee - 2011 - Behavioral and Brain Sciences 34 (4):206-207.
Cognitive Constructivism, Eigen-Solutions, and Sharp Statistical Hypotheses.Julio Michael Stern - 2007 - Cybernetics and Human Knowing 14 (1):9-36.
Bayesian Test of Significance for Conditional Independence: The Multinomial Model.Julio Michael Stern, Pablo de Morais Andrade & Carlos Alberto de Braganca Pereira - 2014 - Entropy 16:1376-1395.
Testing Significance in Bayesian Classifiers.Julio Michael Stern & Marcelo de Souza Lauretto - 2005 - Frontiers in Artificial Intelligence and Applications 132:34-41.
Cointegration: Bayesian Significance Test Communications in Statistics.Julio Michael Stern, Marcio Alves Diniz & Carlos Alberto de Braganca Pereira - 2012 - Communications in Statistics 41 (19):3562-3574.
Why do we need to employ Bayesian statistics and how can we employ it in studies of moral education?: With practical guidelines to use JASP for educators and researchers.Hyemin Han - 2018 - Journal of Moral Education 47 (4):519-537.
Duhem's problem, the bayesian way, and error statistics, or "what's belief got to do with it?".Deborah G. Mayo - 1997 - Philosophy of Science 64 (2):222-244.
Bayesian Evidence Test for Precise Hypotheses.Julio Michael Stern - 2003 - Journal of Statistical Planning and Inference 117 (2):185-198.
The likelihood principle and the reliability of experiments.Andrew Backe - 1999 - Philosophy of Science 66 (3):361.
The correspondence between credibilities and induced betting rate assignments.Marie Gaudard - 1984 - Foundations of Physics 14 (5):431-441.
Optimum Inductive Methods: A Study in Inductive Probability, Bayesian Statistics, and Verisimilitude.Roberto Festa - 1993 - Dordrecht, Netherland: Kluwer Academic Publishers: Dordrecht.

Analytics

Added to PP
2021-07-24

Downloads
222 (#87,766)

6 months
84 (#50,915)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Julio Michael Stern
University of São Paulo

Citations of this work

No citations found.

Add more citations

References found in this work

A statistical paradox.D. V. Lindley - 1957 - Biometrika 44 (1/2):187-192.
Logical Foundations of Probability. [REVIEW]Arthur W. Burks - 1951 - Journal of Philosophy 48 (17):524-535.

Add more references