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

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Page 89

In order to make the mathematical expression compact of the transition

probabilities which govern the process Z(t), the following notation is needed: (*, 0

<): a w-dimensional binary

In order to make the mathematical expression compact of the transition

probabilities which govern the process Z(t), the following notation is needed: (*, 0

<): a w-dimensional binary

**vector**which only differs from * in the value of the i-th ...Page 106

We consider the lossy process obtained from X(t) by truncating the state space to

Ea (all other states absorbing); all matrices will be of size \Ea\ x \B0\ and all

our ...

We consider the lossy process obtained from X(t) by truncating the state space to

Ea (all other states absorbing); all matrices will be of size \Ea\ x \B0\ and all

**vectors**will be |-E7„|-dimensional. Let fi*(t) be the transition probability matrix forour ...

Page 391

Let T and S be some random

that i) the conditional random

Let T and S be some random

**vectors**defined on some probability space. Assumethat i) the conditional random

**vector**T\S is associated. ii) the conditional random**vector**T\S is stochastically nondecreasing (nonincreasing) in S and iii) the ...### 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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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