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

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Page 5

Specifically, we decided to study the case where the characteristic X being

investigated has an

6) = iexp[— a:/0], 0>O,a;>O.» 0 In the missile industry such men as Eobert Lttssek

, ...

Specifically, we decided to study the case where the characteristic X being

investigated has an

**exponential distribution**with a density f(sc; 6) of the form f(x;6) = iexp[— a:/0], 0>O,a;>O.» 0 In the missile industry such men as Eobert Lttssek

, ...

Page 16

The convolution is a gamma distribution of order 2a (2a > 1), a strictly IFB

distribution. Mixture. Next we consider mixtures of distributions. We have already

seen in sect. 2 that a mixture of

stronger ...

The convolution is a gamma distribution of order 2a (2a > 1), a strictly IFB

distribution. Mixture. Next we consider mixtures of distributions. We have already

seen in sect. 2 that a mixture of

**exponential distributions**is DFE. Actually, astronger ...

Page 169

Sequential life testing procedures based on the

worldwide in connection with the procurement activities of governments and

industry. They have been codified by the U.S. government as MIL-STD-781C [1].

Sequential life testing procedures based on the

**exponential distribution**are usedworldwide in connection with the procurement activities of governments and

industry. They have been codified by the U.S. government as MIL-STD-781C [1].

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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