Bayesian Analysis of the Weibull Failure Model Under Stochastic Variation of the Shape and Scale Parameters.

Abstract

In the last five or six years there has been a considerable amount of rising interest in the Bayesian approach to reliability. To a practicing reliability scientist, such an approach would seem quite appealing because it provides a way for the formulation of a distributional form of the unknown parameters inherent within the failure model, based on prior convictions or information available to him. Evans and Drake have given an excellent account for the use of Bayesian theory in reliability. Furthermore, from a practical point of view, Feduccia states that employing the reliability prediction and its associated measure of uncertainty, the coefficient of variation as the 'prior' in a Bayesian setting makes sense. The aims of the present study is to investigate the behavior of a two parameter failure model subject to both behaving as random variables.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1976
Accession Number
ADA020675

Entities

People

  • A. N. V. Rao
  • C. P. Tsokos

Organizations

  • University of South Florida

Tags

DTIC Thesaurus Topics

  • Bayesian Networks
  • Coefficients
  • Models
  • Probabilistic Models
  • Random Variables
  • Reliability
  • Scientists
  • Uncertainty

Readers

  • Statistical inference.
  • Theoretical Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference