• 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 Samples—Exponential 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.- 7.5Weibull 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.

"This is a nice book which touches on diverse subjects in the area of reliability theory... Particularly impressive is the abundance of numerical examples which illustrate in detail almost all the procedures... a welcome addition..." (Zentralblatt fuer Mathematik)

• 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 Samples—Exponential 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.- 7.5Weibull 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.

"This is a nice book which touches on diverse subjects in the area of reliability theory... Particularly impressive is the abundance of numerical examples which illustrate in detail almost all the procedures... a welcome addition..." (Zentralblatt fuer Mathematik)

• 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 Samples—Exponential 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.- 7.5Weibull 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.

"This is a nice book which touches on diverse subjects in the area of reliability theory... Particularly impressive is the abundance of numerical examples which illustrate in detail almost all the procedures... a welcome addition..." (Zentralblatt fuer Mathematik)