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

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Page 330

In order to overcome these drawbacks, the model has been extended [27] as

follows: The input domain is divided into several

division can be based on paths or some other criteria when the number of paths

is too ...

In order to overcome these drawbacks, the model has been extended [27] as

follows: The input domain is divided into several

**equivalence classes**. Thedivision can be based on paths or some other criteria when the number of paths

is too ...

Page 337

If the

terminal

selector

If the

**equivalence class**Ei does not correspond to a nonterminal, it is said to be aterminal

**equivalence class**. The**equivalence class**E; := E1\E2\ ... {En- is aselector

**equivalence class**, while E: := E1E2 ... En is a sequential**equivalence****class**.Page 341

This can result in the creation of several

transforming it into a selector

considered increases.) If Ei is used in several other nonterminals besides E, it

may ...

This can result in the creation of several

**equivalence classes**at the level of E,transforming it into a selector

**equivalence class**. (Thus the number of paths to beconsidered increases.) If Ei is used in several other nonterminals besides E, it

may ...

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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