## Reliability Evaluation of Engineering Systems: Concepts and Techniques |

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### Contents

Basic probability theory | 5 |

Application of the binomial distribution | 36 |

Network modelling and evaluation of simple systems | 62 |

Copyright | |

30 other sections not shown

### Common terms and phrases

application assumed average binomial distribution capacity outage Chapter combinations common mode failures component fails component system concepts conditional probability considered cumulative failure distribution deduced discussed engineering equivalent component event tree expected value exponential distribution expression f/hr f/yr failure density function failure rate frequency of encountering gamma distribution given gives hazard rate identical components illustrated interval Laplace transforms limiting state probabilities maintenance Markov method minimal cut sets MTTF nent number of components number of failures number of spares outcomes P(system parallel system parameters paths Poisson distribution probability density function probability distribution probability of failure probability of occurrence problem random variable represents series system shown in Figure shown in Table space diagram standard deviation standby system stochastic transitional probability summation system failure system shown system success techniques described tion transition rates transitional probability matrix unavailability Venn diagram wearout Weibull distribution zero