## Proceedings of the International School of Physics "Enrico Fermi". |

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Page 122

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

the characterization of a reliability problem in terms of «

«

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

**means**thatthe characterization of a reliability problem in terms of «

**mean**time to failure » or«

**mean**time between failures » or any other single parameter is inappropriate.Page 159

(in place of a) and b + T (in place of 6), the corresponding

+ T , b (3.3) a + A- — 1 = (1-w) a — 1 k where w = fc/(fc + a — 1). Thus tfte

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

(in place of a) and b + T (in place of 6), the corresponding

**mean**takes the form b+ T , b (3.3) a + A- — 1 = (1-w) a — 1 k where w = fc/(fc + a — 1). Thus tfte

**mean**o/ <fce posterior density may be written as a convex combination of the prior ...

Page 414

If the predictive

estimator », y — y(@v), formed from the data, 3>v, then we refer to the formula for

the predictive

If the predictive

**mean**of some random variable y is a linear function of a « naturalestimator », y — y(@v), formed from the data, 3>v, then we refer to the formula for

the predictive

**mean**as a « credibility estimator », because it generally has the ...### What people are saying - Write a review

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### Contents

System Eeliabujty | 3 |

Statistical Theory of Eeliablitt | 8 |

Definitions and characterizations | 12 |

Copyright | |

39 other sections not shown

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### Common terms and phrases

algorithm approach associated assume assumption Bayesian boundary points chain coherent system complex conjugate prior consider correctness defined denote detected discussed edited equations equivalence class ergodic errors example exponential distribution failure rate Fault Tree Analysis function gamma given human reliability IEEE Trans IFEA implementation increasing independent input domain integration interval likelihood Markov Markov chain matrix mean method modules monotone month2 N. D. Singpurwalla number of failures number of system NUMITEMS observed obtained operational output parameters phase Poisson Poisson process possible predictive prior distribution probability problem procedure Proschan R. E. Barlow random variables reliability growth models reliability theory renewal theory repair requirements sample sect sequence Software Eng software reliability software reliability models specification Stat statistical stochastic stochastic process subsection system failure system reliability techniques theorem tion tt tt values vector zero