## System Reliability Theory: Models and Statistical MethodsA comprehensive introduction to reliability analysis. The first section provides a thorough but elementary prologue to reliability theory. The latter half comprises more advanced analytical tools including Markov processes, renewal theory, life data analysis, accelerated life testing and Bayesian reliability analysis. Features numerous worked examples. Each chapter concludes with a selection of problems plus additional material on applications. |

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Read time models and counting processes only. Best colleague since many years. Models explained simply. A praying place when needs to remember time models.

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### Contents

1 | |

15 | |

3 Qualitative System Analysis | 73 |

4 Systems of Independent Components | 147 |

5 Component Importance | 183 |

6 Dependent Failures | 207 |

7 Counting Processes | 231 |

8 Markov Processes | 301 |

14 Reliability Data Sources | 561 |

Appendix A The Gamma and Beta Functions | 573 |

Appendix B Laplace Transforms | 577 |

Appendix C Kronecker Products | 581 |

Appendix E Maximum Likelihood Estimation | 587 |

Appendix F Statistical Tables | 591 |

Acronyms | 595 |

Glossary | 599 |

9 Reliability of Maintained Systems | 361 |

10 Reliability of Safety Systems | 419 |

11 Life Data Analysis | 465 |

12 Accelerated Life Testing | 525 |

13 Bayesian Reliability Analysis | 539 |

References | 605 |

625 | |

629 | |

### Other editions - View all

System Reliability Theory: Models and Statistical Methods Arnljot Høyland,Marvin Rausand No preview available - 2009 |

### Common terms and phrases

approximately assume availability average basic events Bayesian censoring Chapter common cause failures conditional ROCOF Consider constant failure rate critical data set deﬁned Deﬁnition denote Determine discussed distribution function distribution with parameters equations estimator Example exponentially distributed failed failure causes failure modes failure rate function fault tree analysis ﬁnd ﬁre detector ﬁrst FMECA functional block gamma distribution Hence identiﬁed illustrated in Fig independent and identically independent components interoccurrence inverse Gaussian distribution Kaplan-Meier estimator Laplace transform lifetime maintenance Markov process mean downtime mean number minimal cut sets MTTF NHPP number of failures operation parallel system plot Poisson process Pr(T probability density function pump random variable reliability block diagram renewal process repair action repair rate replacement Section series structure shutdown speciﬁc standby Statistical stochastic stress structure function subsystem survivor function system failure system reliability test interval TOP event valve Weibull distribution