Author | Zacks, Shelemyahu. author |
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Title | Introduction to Reliability Analysis [electronic resource] : Probability Models and Statistical Methods / by Shelemyahu Zacks |
Imprint | New York, NY : Springer New York, 1992 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2854-7 |
Descript | XIII, 212 p. online resource |
1. System Effectiveness -- 1.1 Basic Concepts and Relationships -- 1.2 Time Categories -- 1.3 Reliability and Related Functions -- 1.4 Availability, Maintainability and Repairability -- 1.5 Exercises -- 2. Life Distributions, Models and Their Characteristics -- 2.1 Types of Failure Observations -- 2.2 General Characteristics of Life Distributions -- 2.3 Some Families of Life Distributions -- 2.4 Discrete Distributions of Failure Counts -- 2.5 Exercises -- 3. Reliability of Composite Systems -- 3.1 System Reliability for Series and Active Parallel Independent Components -- 3.2 k Out of n Systems of Independent Components -- 3.3 The Decomposition Method -- 3.4 Minimal Paths and Cuts -- 3.5 The MTTF of Composite Systems -- 3.6 Sequentially Operating Components -- 3.7 Fault Tree Analysis -- 3.8 Exercises -- 4. Reliability of Repairable Systems -- 4.1 The Renewal Process -- 4.2 The Renewal Function and Its Density -- 4.3 Asymptotic Approximations -- 4.4 Increasing the Availability by Preventive Maintenance and Standby Systems -- 4.5 Exercises -- 5. Graphical Analysis of Life Data -- 5.1 Probability Plotting for Parametric Models with Uncensored Data -- 5.2 Probability Plotting with Censored Data -- 5.3 Non-Parametric Plotting -- 5.4 Graphical Aids -- 5.5 Exercises -- 6. Estimation of Life Distributions and System Characteristics -- 6.1 Properties of Estimators -- 6.2 Maximum Likelihood Estimation -- 6.3 MLE of System Reliability -- 6.4 MLE from Censored SamplesโExponential Life Distributions -- 6.5 The Kaplan-Meier PL Estimator as an MLE of R(t): Non-Parametric Approach -- 6.6 Exercises -- 7. Maximum Likelihood Estimators and Confidence Intervals for Specific Life Distributions -- 7.1 Exponential Distributions -- 7.2 Shifted Exponential Distributions -- 7.3 Erlang Distributions -- 7.4 Gamma Distributions -- 7.5 Weibull Distributions -- 7.6 Extreme Value Distributions -- 7.7 Normal and Lognormal Distributions -- 7.8 Truncated Normal Distributions -- 7.9 Exercises -- 8. Bayesian Reliability Estimation and Prediction -- 8.1 Prior and Posterior Distributions -- 8.2 Loss Functions and Bayes Estimators -- 8.3 Bayesian Credibility and Prediction Intervals -- 8.4 Credibility Intervals for the Asymptotic Availability of Repairable Systems: The Exponential Case -- 8.5 Empirical Bayes Method -- 8.6 Exercises -- 9. Reliability Demonstration: Testing and Acceptance Procedures -- 9.1 Reliability Demonstration -- 9.2 Binomial Testing -- 9.3 Exponential Distributions -- 9.4 Sequential Reliability Testing -- 9.5 Sequential Tests for Poisson Processes -- 9.6 Bayesian Reliability Demonstration Tests -- 9.7 Accelerated Life Testing -- 9.8 Exercises -- Annotated Bibliography -- Appendix of Statistical Tables