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

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Page 23

Each subset of S is an event A, a

experiment, s/ = {A: A c S}, the set of all such

technically as the algebra of events. The third component P of the probability

space is a recipe ...

Each subset of S is an event A, a

**possible**bet as to the outcome of theexperiment, s/ = {A: A c S}, the set of all such

**possible**bets (events), is knowntechnically as the algebra of events. The third component P of the probability

space is a recipe ...

Page 129

There will always be an initiating event, with some probability of occurrence,

followed by an evaluation of the various

This picture will be put together into an event three, one for each initiating event (

of ...

There will always be an initiating event, with some probability of occurrence,

followed by an evaluation of the various

**possible**consequences of that event.This picture will be put together into an event three, one for each initiating event (

of ...

Page 335

The failure to determine the

responses results in difficult- to-correct, missing cases types of errors [40J which

can be disastrous for critical control systems. 3*2. Role of formal techniques for

control ...

The failure to determine the

**possible**inputs and to generate appropriateresponses results in difficult- to-correct, missing cases types of errors [40J which

can be disastrous for critical control systems. 3*2. Role of formal techniques for

control ...

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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