Chapter 9. Non-Parametric Bayes Methods in Reliability

  1. Nozer D. Singpurwalla

Published Online: 19 NOV 2007

DOI: 10.1002/9780470060346.ch9

Reliability and Risk: A Bayesian Perspective

Reliability and Risk: A Bayesian Perspective

How to Cite

Singpurwalla, N. D. (2006) Non-Parametric Bayes Methods in Reliability, in Reliability and Risk: A Bayesian Perspective, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470060346.ch9

Author Information

  1. The George Washington University, Washington DC, USA

Publication History

  1. Published Online: 19 NOV 2007
  2. Published Print: 4 AUG 2006

Book Series:

  1. Wiley Series in Probability and Statistics

Book Series Editors:

  1. Walter A. Shewhart and
  2. Samuel S. Wilks

ISBN Information

Print ISBN: 9780470855027

Online ISBN: 9780470060346

SEARCH

Keywords:

  • non-parametric Bayes methods in reliability;
  • Dirichlet distribution and variants;
  • ordered Dirichlet distribution;
  • generalized Dirichlet – concept of neutrality;
  • non-parametric Bayes approach in bioassay;
  • prior distributions on hazard function;
  • Kaplan–Meier and Nelson–Aalen estimator relationship;
  • cumulative distribution function priors

Summary

This chapter contains sections titled:

  • The What and Why of Non-parametric Bayes

  • The Dirichlet Distribution and its Variants

  • A Non-parametric Bayes Approach to Bioassay

  • Prior Distributions on the Hazard Function

  • Prior Distributions for the Cumulative Hazard Function

  • Priors for the Cumulative Distribution Function