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

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Page 45

Let r(r) be the p.d.f. of the i.i.d.

+ (l-y)rt(T)J where y is the probability that the state 0 is not visited during the

r2(r) ...

Let r(r) be the p.d.f. of the i.i.d.

**intervals**between renewals, then (4.12) r(x)=yr1(T)+ (l-y)rt(T)J where y is the probability that the state 0 is not visited during the

**interval**, r^r) is the conditional p.d.f. for the**interval**given that 0 is not visited, andr2(r) ...

Page 186

Let the j'-th time

be the number of A'.'s which fall in 1,, j = 1, k, and let a,^, + <,_,,, be the age at

death of the i-th individual in the j-th

0.

Let the j'-th time

**interval**I,, j = 1, k, be 1 1 = Xj— a,_i , with a„ = 0 , at = oo . Let iijbe the number of A'.'s which fall in 1,, j = 1, k, and let a,^, + <,_,,, be the age at

death of the i-th individual in the j-th

**interval**, I = 1, n,, with 0 < tj_iti< I,; here i,_lf0 =0.

Page 201

In sect. 3 we describe the prior distributions for both the increasing-failure-rate

and decreasing-failure-rate assumption. In sect. 4 we discuss the posterior

analysis. 2. - Preliminaries. A total of n test items are observed over a time

In sect. 3 we describe the prior distributions for both the increasing-failure-rate

and decreasing-failure-rate assumption. In sect. 4 we discuss the posterior

analysis. 2. - Preliminaries. A total of n test items are observed over a time

**interval**(0, ...### 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 | |

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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