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

### From inside the book

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Page 3

Mathematical

Department of Industrial Engineering and Operations Research University of

California · Berkeley , CA 94720 This is a historically oriented review of

developments in ...

Mathematical

**Theory**of Reliability . Historical Perspectives . R . E . BARLOWDepartment of Industrial Engineering and Operations Research University of

California · Berkeley , CA 94720 This is a historically oriented review of

developments in ...

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Among statisticians working in reliability

trend is the growing recognition of the usefulness of the Bayesian approach to

inductive inference . BARLOW and Wu [ 72 ] give a Bayesian version of the

Barlow ...

Among statisticians working in reliability

**theory**, perhaps the most significanttrend is the growing recognition of the usefulness of the Bayesian approach to

inductive inference . BARLOW and Wu [ 72 ] give a Bayesian version of the

Barlow ...

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Renewal

of the indicator process I ( t ) would have the form shown in fig . 3 . ilw , t ) 13 Fig .

3 . At the epochs T , 21 , 2 , . . . , the generator has just been repaired and is as ...

Renewal

**theory**. In the power generator model discussed above , a sample pathof the indicator process I ( t ) would have the form shown in fig . 3 . ilw , t ) 13 Fig .

3 . At the epochs T , 21 , 2 , . . . , the generator has just been repaired and is as ...

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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