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

### From inside the book

Results 1-3 of 94

Page 5

Specifically , we decided to study the case where the characteristic X being

investigated has an

; 0 ) = a exp [ - < / 0 ] , 0 > 0 , x > 0 . » In the missile industry such men as Robert ...

Specifically , we decided to study the case where the characteristic X being

investigated has an

**exponential**distribution with a density f ( x ; 0 ) of the form f ( x; 0 ) = a exp [ - < / 0 ] , 0 > 0 , x > 0 . » In the missile industry such men as Robert ...

Page 16

< 1 ) , a DFR distribution , with itself . The convolution is a gamma distribution of

order 2ų ( 20 > 1 ) , a strictly IFR distribution . Mixture . Next we consider mixtures

of distributions . We have already seen in sect . 2 that a mixture of

< 1 ) , a DFR distribution , with itself . The convolution is a gamma distribution of

order 2ų ( 20 > 1 ) , a strictly IFR distribution . Mixture . Next we consider mixtures

of distributions . We have already seen in sect . 2 that a mixture of

**exponential**...Page 157

This simple formula for the MLE holds in most of the testing procedures followed

under the

have discussed inference for the

rate 2 ...

This simple formula for the MLE holds in most of the testing procedures followed

under the

**exponential**model . 3 . - Inference based on mean life . Thus far wehave discussed inference for the

**exponential**distribution based on the failurerate 2 ...

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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