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

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Page 61

Denote by u„ the numerical

step size. i) The simplest iteration formula for w„ is (3.2) un+1 = un(l — Xh) , which

amounts to forward going through mesh-points and estimating y(t) by its first-

order ...

Denote by u„ the numerical

**approximation**to y(nh), where h is the integrationstep size. i) The simplest iteration formula for w„ is (3.2) un+1 = un(l — Xh) , which

amounts to forward going through mesh-points and estimating y(t) by its first-

order ...

Page 171

48), a good

— BMm) , and, for 0 = g, is given by In A/(ln A — In B); h0(8) is a unique number

which depends on 0 and satisfies D Underlying the development of the above ...

48), a good

**approximation**to La{6) for 0 ^ 8 is given by (2.3) {A**TM — l)l{AhaU)— BMm) , and, for 0 = g, is given by In A/(ln A — In B); h0(8) is a unique number

which depends on 0 and satisfies D Underlying the development of the above ...

Page 189

are the parameters of interest, since they are

small values of It. If j>, = 1 — qt, then the probability of survival to f„ pm =i-f°(sj = fi^

. Let JV,, and W, represent, respectively, the number of items surviving at the ...

are the parameters of interest, since they are

**approximations**to the failure rate forsmall values of It. If j>, = 1 — qt, then the probability of survival to f„ pm =i-f°(sj = fi^

. Let JV,, and W, represent, respectively, the number of items surviving at the ...

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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