## Proceedings of the International School of Physics "Enrico Fermi", Volume 94 |

### From inside the book

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Page 18

that the class of

closed under the formation of coherent systems . A distribution F ( t ) with failure

rate r ( t ) is said to have an

that the class of

**increasing**failure rate on the average ( IFRA ) life distributions isclosed under the formation of coherent systems . A distribution F ( t ) with failure

rate r ( t ) is said to have an

**increasing**failure rate average if ( 1 / t ) r ( u ) du is ...Page 115

... general interest in reliability theory and operation research and will allow us to

characterize situations interesting to us which ensure association . In the

following we shall say that a real function of k variables h ( 21 , . . . , Xx ) is

... general interest in reliability theory and operation research and will allow us to

characterize situations interesting to us which ensure association . In the

following we shall say that a real function of k variables h ( 21 , . . . , Xx ) is

**increasing**if it ...Page 163

A. Serra, Richard E. Barlow. A . 1 Theorem . Let T ( 0 ) be a prior density on . Let

data D = ( k , T ) and likelihood L ( Ok , T ) be given such that for 0 , < 0 , L ( 01 | k ,

T ) / L ( 0 , \ k , T ) is

...

A. Serra, Richard E. Barlow. A . 1 Theorem . Let T ( 0 ) be a prior density on . Let

data D = ( k , T ) and likelihood L ( Ok , T ) be given such that for 0 , < 0 , L ( 01 | k ,

T ) / L ( 0 , \ k , T ) is

**increasing**in k and decreasing in T . Let g ( 0 ) be**increasing**...

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### Contents

STATISTICAL THEORY OF RELIABLITY | 8 |

Definitions and characterizations | 12 |

J KEILSON Stochastic models in reliability theory | 23 |

Copyright | |

37 other sections not shown

### Common terms and phrases

analysis application approach associated assume assumption BARLOW Bayesian calculation called complex components consider constant continuous correctness Course defined density depends derived described detected determine discussed distribution edited epochs equations equivalence ergodic errors estimate example exists expected exponential fact fail failure rate fault function given Hence important increasing independent input integration interest interval known likelihood limit Markov matrix mean measure method modules normal Note observed obtain occur operational parameters performance phase positive possible posterior predictive prior probability problem procedure prove random variables renewal repair requirements rule sample selected sequence simple software reliability space specification statistical stochastic structure Suppose task theorem theory tion transition tree University values York