## Bayesian Analysis of Component Failure Data, Volume 88 |

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### Contents

Section Page | 1 |

INTRODUCTION | 8 |

SIMULATION STUDY OF PRIOR ESTIMATION TECHNIQUES | 47 |

6 other sections not shown

### Common terms and phrases

95-th percentile approximate beta distribution beta parameter estimators beta prior distribution beta-binomial bias binomial bution calculated CM CM CM rH component failure probabilities cumulative distribution diesel engine data diesel engine failure distri Distributions from Samples equations esti estimated beta prior estimated prior distributions estimation methods evaluation failure data samples FORTRAN IV gamma distribution gamma function Id Id Id incomplete beta function iteration likelihood function likelihood method based log normal distribution lOld low failure probability marginal distribution Marginal Max marginal maximum likelihood matching moments method matching moments technique maximum likelihood estimates maximum likelihood method mean and variance mean squared error median number of failures observed outliers PLOT posterior distribution prior beta prior matching moments Prior Max prior mean Prior Parameter Estimates rH CM rH rH rH RTMI sample sizes simulated failure data small sample sizes statistic Table true beta true value variance and covariance variance estimates yield