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

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Page 17

In addition, the individual IPE components are « wearing out » with increasing

age, since by assumption they each have increasing

two facts together, we might conclude (falsely!) that a coherent system of IPE ...

In addition, the individual IPE components are « wearing out » with increasing

age, since by assumption they each have increasing

**failure rate**. Putting thesetwo facts together, we might conclude (falsely!) that a coherent system of IPE ...

Page 202

The

k*(t) = qi for ti_1<t<ti, for t = 1, k, where q{ is the interval

6) q<= h{l-F(tt))' ^ = l,...,k. The interval

The

**failure rate**function, X{t), may be piecewise approximated over (0, t*] as (2.5)k*(t) = qi for ti_1<t<ti, for t = 1, k, where q{ is the interval

**failure rate**defined by (2-6) q<= h{l-F(tt))' ^ = l,...,k. The interval

**failure rate**q, may be expressed in terms ...Page 328

This is clearly unsatisfactory since one would expect that errors which are

detected later should have smaller (operational) error rates than those which are

detected earlier. Littlewood [22] has developed a model where the

...

This is clearly unsatisfactory since one would expect that errors which are

detected later should have smaller (operational) error rates than those which are

detected earlier. Littlewood [22] has developed a model where the

**failure rate**of...

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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