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

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Page 257

Since Z7BI = u(w0 — n), if insurance were available on fair terms (n = n, = m), we

would definitely prefer it, for the convex nature of the

— m) (indicated by the empty triangle a) lie above 17DN. Even if 7i were slightly ...

Since Z7BI = u(w0 — n), if insurance were available on fair terms (n = n, = m), we

would definitely prefer it, for the convex nature of the

**curve**makes the point u(w0— m) (indicated by the empty triangle a) lie above 17DN. Even if 7i were slightly ...

Page 259

Some specific utility

that have been proposed in the literature. The most ubiquitous is the exponential

utility: (4) u(x) = (} — a. exp [— rw] (remember that a > 0 and /? are irrelevant in ...

Some specific utility

**curves**. It is of interest to consider some convex utility**curves**that have been proposed in the literature. The most ubiquitous is the exponential

utility: (4) u(x) = (} — a. exp [— rw] (remember that a > 0 and /? are irrelevant in ...

Page 429

typical growth forms, assumed known from previous experience, ft is the usual

age-dependent hazard function, while g is the learning

decreasing in some given manner as t increases. This assumption is reasonable

if we ...

typical growth forms, assumed known from previous experience, ft is the usual

age-dependent hazard function, while g is the learning

**curve**itself, which isdecreasing in some given manner as t increases. This assumption is reasonable

if we ...

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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