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

### From inside the book

Results 1-3 of 52

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

these ...

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

these ...

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

the filter

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

means of ...

The filter

**equation**. Using the model (7.3), (7.7), (7.8), (7.2) we may write downthe filter

**equations**for f, = E(rt\ ??) , ®, = E(0\.<F?) . However, as we alreadyobserved, the appearance on the r.h.s. of the filter

**equations**of conditionalmeans of ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

System Eeliabujty | 3 |

Statistical Theory of Eeliablitt | 8 |

Definitions and characterizations | 12 |

Copyright | |

39 other sections not shown

### Other editions - View all

### 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