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

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Page 166

The XX Century neo-

following ideas: All probabilities are based on judgement and must satisfy the

laws of probability. Probability is conditional on current information. Probability ...

The XX Century neo-

**Bayesian**paradigm seems to be based pretty much on thefollowing ideas: All probabilities are based on judgement and must satisfy the

laws of probability. Probability is conditional on current information. Probability ...

Page 168

The

probability: probability being expressed in terms of gambles It is pointed out that it

is unrealistic to think of probability as necessarily being defined over a ...

The

**Bayesian**paradigm is first described as an appreciation of the world throughprobability: probability being expressed in terms of gambles It is pointed out that it

is unrealistic to think of probability as necessarily being defined over a ...

Page 422

Other

George [7], a partly

sampling plan for 7 = 1 by Tang et al. [9] and a sequential sampling plan for I = 2

by ...

Other

**Bayesian**models. Apart from an elementary model for I = 2 by Gaskell andGeorge [7], a partly

**Bayesian**approach by Carle and Strtjb [8], a sequentialsampling plan for 7 = 1 by Tang et al. [9] and a sequential sampling plan for I = 2

by ...

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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