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

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Page 67

Some of these include communication networks, electrical power systems, water

transmission systems, nuclear-power reactors and ... We hypothesize and guess

possible

Some of these include communication networks, electrical power systems, water

transmission systems, nuclear-power reactors and ... We hypothesize and guess

possible

**system failure**scenarios as well as system success modes.Page 68

1. - Proposed X-ray test facility. iLes er In the inductive phase of our

analysis we listed all possible mechanical and electrical

could envision. This led to a critical component list including assessed

rates.

1. - Proposed X-ray test facility. iLes er In the inductive phase of our

**system**analysis we listed all possible mechanical and electrical

**failure**modes that wecould envision. This led to a critical component list including assessed

**failure**rates.

Page 79

3) How often do we expect a specific component to « cause »

We say that a component « causes »

with that component's failure.) We will consider two system models of general

interest.

3) How often do we expect a specific component to « cause »

**system failure**? (We say that a component « causes »

**system failure**if**system failure**coincideswith that component's failure.) We will consider two system models of general

interest.

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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