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

### From inside the book

Results 1-3 of 21

Page 27

At the

as new . At each of these

futures beyond these

at ...

At the

**epochs**T , 21 , 2 , . . . , the generator has just been repaired and is as goodas new . At each of these

**epochs**the system starts afresh and the statisticalfutures beyond these

**epochs**are identical . The system is then said to regenerateat ...

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For the power generator model , the repair completion

both the repair times and the failure times are governed by separate failure rate ...

For the power generator model , the repair completion

**epochs**and the failure**epochs**interleave . Each set of**epochs**forms a renewal process . Suppose thatboth the repair times and the failure times are governed by separate failure rate ...

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elapsed time since the most recent

Markov chain in discrete time if a ) transitions occur at

**epoch**. Thus J ( t ) takes on values j = 1 , 2 , . . . , K . The process X ( t ) is theelapsed time since the most recent

**epoch**. ... A process J ( k ) is said to be a finiteMarkov chain in discrete time if a ) transitions occur at

**epochs**k = 1 , 2 , 3 , .### What people are saying - Write a review

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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