Optimal Reliability Modeling: Principles and Applications

Preface.Acknowledgments.1 Introduction.1.1 Needs for Reliability Modeling.1.2 Optimal Design.2 Reliability Mathematics.2.1 Probability and Distributions.2.1.1 Events and Boolean Algebra.2.1.2 Probabilities of Events.2.1.3 Random Variables and Their Characteristics.2.1.4 Multivariate Distributions.2.1.5 Special Discrete Distributions.2.1.6 Special Continuous Distributions.2.2 Reliability Concepts.2.3 Commonly Used Lifetime Distributions.2.4 Stochastic Processes.2.4.1 General Definitions.2.4.2 Homogeneous Poisson Process.2.4.3 Nonhomogeneous Poisson Process.2.4.4 Renewal Process.2.4.5 Discrete-Time Markov Chains.2.4.6 Continuous-Time Markov Chains.2.5 Complex System Reliability Assessment Using Fault Tree…