The Burr Distribution as a Failure Model from a Bayesian Approach

Abstract

The 2-parameter Burr distribution is introduced as a failure model from a Bayesian approach. Bayesian estimators for the parameter p and reliability function are derived. Two priors are considered when the Bayesian approach is used: gamma and uniform. The Bayesian estimators of p and R(t) were derived in a closed form. Thus the Bayesian estimators are mathematically tractable and easy to use. A hypothetical example shows how the Burr distribution would be used as a failure model.