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

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Page 78

The top event occurrence rate for selected time points is then

sum of basic-event marginal- occurrence rates. This program attempts to take

optimum advantage of the tree structure for the probability

finds ...

The top event occurrence rate for selected time points is then

**calculated**as thesum of basic-event marginal- occurrence rates. This program attempts to take

optimum advantage of the tree structure for the probability

**calculation**. It neitherfinds ...

Page 87

As to the failure, any way, even though a constant hazard rate is not always a

good model of the reality, mono- tonicity of component failure rates can be of help

for simplifying the problem of

As to the failure, any way, even though a constant hazard rate is not always a

good model of the reality, mono- tonicity of component failure rates can be of help

for simplifying the problem of

**calculating**system reliability. It is proved in [2] that, ...Page 149

As described above, we

sample size of 100 is moderately large, the likelihood L(k\x1, as100) = A100 exp [

— A 2>,J will override in importance the rotangular prior 7r0(A) = M-1 , 0<k<M, ...

As described above, we

**calculated**the MLB of A as A = 4.78-10-3/nour. Since thesample size of 100 is moderately large, the likelihood L(k\x1, as100) = A100 exp [

— A 2>,J will override in importance the rotangular prior 7r0(A) = M-1 , 0<k<M, ...

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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