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

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Page 23

The probability

ideas as clear as possible . A probability

w } of elementary events w . Each subset of S is an event A , a possible bet as to ...

The probability

**space**will only be employed as a conceptual tool for making theideas as clear as possible . A probability

**space**( S , A , P ) consists of a set S = {w } of elementary events w . Each subset of S is an event A , a possible bet as to ...

Page 31

The state

for [ J ( t ) , X ( t ) ] . At the failure and repair epochs j switches and a changes to

zero . The probability of being UP at t = oo is ( 2 . 15a ) P [ J ( 00 ) = UP ] = E [ T ...

The state

**space**of the process is shown below : UP → DOWN + The state**space**for [ J ( t ) , X ( t ) ] . At the failure and repair epochs j switches and a changes to

zero . The probability of being UP at t = oo is ( 2 . 15a ) P [ J ( 00 ) = UP ] = E [ T ...

Page 151

The sample

outcomes . If we observe the lifetimes of n units , the sample

, we may just as well consider another sample

the ...

The sample

**space**. The sample**space**is the**space**or set of possible sampleoutcomes . If we observe the lifetimes of n units , the sample

**space**is ... However, we may just as well consider another sample

**space**. Suppose we are told onlythe ...

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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