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

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Eeproduc-

States Government. REFERENCES [1] M. K. Chang: A graph theoretic appraisal

of the complexity of network reliability algorithms, Ph. D. Thesis, Operations

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Eeproduc-

**tion**in whole or in part is permitted for any purpose of the UnitedStates Government. REFERENCES [1] M. K. Chang: A graph theoretic appraisal

of the complexity of network reliability algorithms, Ph. D. Thesis, Operations

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Page 188

The distribution function F of an uncensored observation is called a subdistribu-

analysis, interest centers around the distribution function F". The time period ...

The distribution function F of an uncensored observation is called a subdistribu-

**tion**function. Specifically, X F(x) = P{Xn<x, dn = 1} = j(l -S(s)) &F°(s) . a In life tableanalysis, interest centers around the distribution function F". The time period ...

Page 201

we describe the prior distributions for both the increasing-failure-rate and

decreasing-failure-rate assumption. In sect. 4 we discuss the posterior analysis. 2

.

**tion**. In sect. 2 we describe our sampling scheme and define notation. In sect. 3we describe the prior distributions for both the increasing-failure-rate and

decreasing-failure-rate assumption. In sect. 4 we discuss the posterior analysis. 2

.

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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