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

### From inside the book

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Page 122

The characteristic of all these , as mentioned before , is width , and that

that the characterization of a reliability problem in terms of «

» or «

inappropriate ...

The characteristic of all these , as mentioned before , is width , and that

**means**that the characterization of a reliability problem in terms of «

**mean**time to failure» or «

**mean**time between failures » or any other single parameter isinappropriate ...

Page 159

( in place of a ) and b + T ( in place of b ) , the corresponding

( 3 . 3 ) b + T a + k - 1 = ( 1 — w ) — tw I where w = k / ( k + a – 1 ) . Thus the

of the posterior density may be written as a convex combination of the prior ...

( in place of a ) and b + T ( in place of b ) , the corresponding

**mean**takes the form( 3 . 3 ) b + T a + k - 1 = ( 1 — w ) — tw I where w = k / ( k + a – 1 ) . Thus the

**mean**of the posterior density may be written as a convex combination of the prior ...

Page 414

If the predictive

estimator » , ŷ = ż ( D , ) , formed from the data , D , , then we refer to the formula

for the predictive

If the predictive

**mean**of some random variable ō is a linear function of a « naturalestimator » , ŷ = ż ( D , ) , formed from the data , D , , then we refer to the formula

for the predictive

**mean**as a « credibility estimator » , because it generally has ...### 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