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

### From inside the book

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Page 292

5 , it is extremely difficult to

sized systems . Therefore , software engineers , instead of spending time in trying

to formally

5 , it is extremely difficult to

**prove**that software is error - free , even for moderatelysized systems . Therefore , software engineers , instead of spending time in trying

to formally

**prove**correctness of programs , have concentrated more on ...Page 335

For any control module we can

assertions are satisfied — if it is invoked by higherlevel modules , then ensure

that the parameters passed are valid ; if it deals with inputs from the users or

sensors ...

For any control module we can

**prove**the following : i )**Prove**that its inputassertions are satisfied — if it is invoked by higherlevel modules , then ensure

that the parameters passed are valid ; if it deals with inputs from the users or

sensors ...

Page 392

Since ( Tx | N , 1 ) has independent components , the preceding statement can be

nonincreasing in ( N , 1 ) . To

. . . and ...

Since ( Tx | N , 1 ) has independent components , the preceding statement can be

**proved**if we can**prove**that , for each positive integer k , ( Tx | N , 4 ) isnonincreasing in ( N , 1 ) . To

**prove**the latter statement , we note that for k = 1 , 2 ,. . . and ...

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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