Practical Applications of Bayesian Reliability

Index

• a
• Accelerated life testing  16

• b
• Bayes factor  50
• Bayesian hierarchical model  217, 220
• Bayesian inference  44
• Bayesian network  197
• Bayesian reasoning  25
• Bayesian zero‐failure test plan  149
• Beta distribution  36, 217, 221
• Binomial distribution  102, 207, 221

• c
• Censored data  11, 117, 120
• Classical Zero‐Failure Test Plans  146
• Conditional probability  26
• Conjugate prior  35, 103
• Continuous probability distribution  6
• Convergence diagnostics 143
• Credible interval  33
• Cumulative distribution function  8

• d
• Defibrillation efficacy testing  257
• Defibrillation shock efficacy  257
• Defibrillation threshold  257
• Design capability  165
• Design for reliability  2, 4, 166
• Design for Six Sigma  4, 165
• Discrete probability distribution  6
• Discretization  60

• e
• Exchangeability  220
• Exponential distribution  108

• f
• Fault tree  196
• Frequentist inference  44

• g
• Gamma distribution  95, 105, 110, 113
• Gibbs sampling  80

• h
• Hazard rate/instantaneous failure rate  9

• i
• Implant testing  258
• Independence  27
• Informative prior  38
• Interval estimation  33

• j
• JAGS  67, 85
• Joint probability  26

• l
• Likelihood function  35
• Linear regression  239
• Logistic regression  246
• Logit  247
• Lognormal distribution  139

• m
• Marginal distribution  36, 50
• Marginal probability  28
• Markov Chain Monte Carlo (MCMC)  2, 66
• Mean  33
• Median  33
• Metropolis algorithm  68
• Monte Carlo  21, 48, 166
• Mutually exclusive  27

• n
• Negative predictive value (NPV)  31, 199
• Nested Monte Carlo ...