Template:B-w priors

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The prior distribution of β, denoted as [math]\displaystyle{ \varphi (\beta ) }[/math], can be selected from the following distributions: normal, lognormal, exponential and uniform. The procedure of performing a Weibull-Bayesian analysis is as follows:

  • Collect the times-to-failure data.
  • Specify a prior distribution for β (the prior for η is assumed to be 1/η).
  • Obtain the posterior from Eqn. (EQNREF WeibBayes ).