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

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Page 60

Numerical integration of stiff

Even if the number of system components is small ( five , six ) , dimensions of

transition rate matrices of concern require the use of numerical methods . Among

...

Numerical integration of stiff

**equations**; stiffness of Markov differential problem .Even if the number of system components is small ( five , six ) , dimensions of

transition rate matrices of concern require the use of numerical methods . Among

...

Page 62

Let us now turn to examine what the characteristics are of Markov

Since system component lives are stochastically much larger than system

component repair times , coefficients of Markov

range .

Let us now turn to examine what the characteristics are of Markov

**equations**.Since system component lives are stochastically much larger than system

component repair times , coefficients of Markov

**equations**are spread over a widerange .

Page 237

The filter

write down the filter

we already observed , the appearance on the r . h . s . of the filter

The filter

**equation**. Using the model ( 7 . 3 ) , ( 7 . 7 ) , ( 7 . 8 ) , ( 7 . 2 ) we maywrite down the filter

**equations**for îc = E ( 72 ) F ) , Ô , = E ( OFÀ ) . However , aswe already observed , the appearance on the r . h . s . of the filter

**equations**of ...### What people are saying - Write a review

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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