## Proceedings of the International School of Physics "Enrico Fermi", Volume 94 |

### From inside the book

Results 1-3 of 73

Page xiv

Other models . . . . . . . . . . . . . . . . . . . . . » 421 9 . Other

· · . . . > 422 10 . Numerical behavior of the

. JEWELL - A general framework for learning - curve reliability growth models .

Other models . . . . . . . . . . . . . . . . . . . . . » 421 9 . Other

**Bayesian**models : . . · · · · · · ·· · . . . > 422 10 . Numerical behavior of the

**Bayesian**estimator . . . . . . » 422 W . S. JEWELL - A general framework for learning - curve reliability growth models .

Page 166

Given data , x occurrences in N trials , the conditional probability of an additional

k occurrences in an additional n trials looks like ( 2 ) with r ( p ) replaced by the

posterior density for P , np | x , N ) , calculated via

...

Given data , x occurrences in N trials , the conditional probability of an additional

k occurrences in an additional n trials looks like ( 2 ) with r ( p ) replaced by the

posterior density for P , np | x , N ) , calculated via

**Bayes**' theorem . The idea that...

Page 168

The

probability : probability being expressed in terms of gambles . . . . It is pointed out

that it is unrealistic to think of probability as necessarily being defined over a ...

The

**Bayesian**paradigm is first described as an appreciation of the world throughprobability : probability being expressed in terms of gambles . . . . It is pointed out

that it is unrealistic to think of probability as necessarily being defined over a ...

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### Contents

STATISTICAL THEORY OF RELIABLITY | 8 |

Definitions and characterizations | 12 |

J KEILSON Stochastic models in reliability theory | 23 |

Copyright | |

37 other sections not shown

### Common terms and phrases

analysis application approach associated assume assumption BARLOW Bayesian calculation called complex components consider constant continuous correctness Course defined density depends derived described detected determine discussed distribution edited epochs equations equivalence ergodic errors estimate example exists expected exponential fact fail failure rate fault function given Hence important increasing independent input integration interest interval known likelihood limit Markov matrix mean measure method modules normal Note observed obtain occur operational parameters performance phase positive possible posterior predictive prior probability problem procedure prove random variables renewal repair requirements rule sample selected sequence simple software reliability space specification statistical stochastic structure Suppose task theorem theory tion transition tree University values York