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

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Page 25

one random variable elementary events 8 = {co} compound events A = {oolco e A

} random variable X;S -+8t (taking co -> oo(co)) A

so-called

one random variable elementary events 8 = {co} compound events A = {oolco e A

} random variable X;S -+8t (taking co -> oo(co)) A

**Poisson process**. Consider theso-called

**Poisson process**describing, say, a stream of particles emitted at ...Page 26

A reliability process. A simple process from reliability theory we will soon see

again may be of interest. A power ... The

time-homogeneous since the governing intervals have a fixed exponential

distribution.

A reliability process. A simple process from reliability theory we will soon see

again may be of interest. A power ... The

**Poisson process**described above istime-homogeneous since the governing intervals have a fixed exponential

distribution.

Page 217

Counting process. — A counting process is a process Nt with piecewise constant

right-continuous trajectories, with unit-size jumps (AN, = 1) and N0 = 0. The

simplest (and most fundamental) member of this family is the

Counting process. — A counting process is a process Nt with piecewise constant

right-continuous trajectories, with unit-size jumps (AN, = 1) and N0 = 0. The

simplest (and most fundamental) member of this family is the

**Poisson process**.### What people are saying - Write a review

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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