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| Preface | |
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| Prelude | |
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| Reliability and Hazard Functions | |
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| Introduction | |
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| Reliability Definition and Estimation | |
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| Hazard Functions | |
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| Multivariate Hazard Rate | |
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| Competing Risk Model and Mixture of Failure Rates | |
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| Discrete Probability Distributions | |
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| Mean Time to Failure | |
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| Mean Residual Life (MRL) | |
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| Time of First Failure 71 Problems | |
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| References | |
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| System Reliability Evaluation | |
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| Introduction | |
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| Reliability Block Diagrams | |
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| Series Systems | |
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| Parallel Systems | |
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| Parallel-Series, Series-Parallel, and Mixed-Parallel Systems | |
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| Consecutive-k-out-of-n: F System | |
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| Reliability of k-out-of-n Systems | |
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| Reliability of k-out-of-n Balanced Systems | |
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| Complex Reliability Systems | |
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| Special Networks | |
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| Multistate Models | |
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| Redundancy | |
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| Importance Measures of Components | |
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| Problems | |
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| References | |
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| Time-And Failure-Dependent Reliability | |
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| Introduction | |
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| Nonrepairable Systems | |
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| Mean Time to FaUure (MTTF) | |
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| Repairable Systems | |
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| Availability | |
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| Dependent Failures | |
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| Redundancy and Standby | |
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| Problems | |
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| References | |
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| Estimation Methods of the Parameters of Failure-Time Distributions | |
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| Introduction | |
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| Method of Moments | |
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| The Likelihood Function | |
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| Method of Least Squares | |
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| Bayesian Approach | |
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| Generation of Failure-Time Data | |
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| Problems | |
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| References | |
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| Parametric Reliability Models | |
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| Introduction | |
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| Approach 1: Historical Data | |
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| Approach 2: Operational Life Testing | |
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| Approach 3: Burn-In Testing | |
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| Approach 4: Accelerated Life Testing | |
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| Types of Censoring | |
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| The Exponential Distribution | |
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| The Rayleigh Distribution | |
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| The Weibull Distribution | |
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| Lognormal Distribution | |
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| The Gamma Distribution | |
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| The Extreme Value Distribution | |
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| The Half-Logistic Distribution | |
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| Frechet Distribution | |
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| Birnbaum-Saunders Distribution | |
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| Linear Models | |
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| Multicensored Data | |
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| Problems | |
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| References | |
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| Models for Accelerated Ufe Testing | |
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| Introduction | |
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| Types of Reliability Testing | |
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| Accelerated Life Testing | |
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| ALT Models | |
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| Statistics-Based Models: Nonparametric | |
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| Physics-Statistics-Based Models | |
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| Physics-Experimental-Based Models | |
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| Degradation Models | |
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| Statistical Degradation Models | |
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| Accelerated Life Testing Plans | |
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| Problems | |
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| References | |
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| Renewal Processes and Expected Number of Failures | |
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| Introduction | |
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| Parametric Renewal Function Estimation | |
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| Nonparametric Renewal Function Estimation | |
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| Alternating Renewal Process | |
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| Approximations of M(t) | |
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| Other Types of Renewal Processes | |
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| The Variance of Number of Renewals | |
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| Confidence Intervals for the Renewal Function | |
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| Remaining Life at Time T | |
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| Poisson Processes | |
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| Laplace Transform and Random Variables | |
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| Problems | |
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| References | |
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| Preventive Maintenance and Inspection | |
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| Introduction | |
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| Preventive Maintenance and Replacement Models: Cost Minimization | |
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| Preventive Maintenance and Replacement Models: Downtime Minimization | |
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| Minimal Repair Models | |
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| Optimum Replacement Intervals for Systems Subject to Shocks | |
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| Preventive Maintenance and Number of Spares | |
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| Group Maintenance | |
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| Periodic Inspection | |
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| Condition-Based Maintenance | |
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| Online Surveillance and Monitoring | |
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| Problems | |
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| References | |
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| Warranty Models | |
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| Introduction | |
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| Warranty Models for Nonrepairable Products | |
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| Warranty Models for Repairable Products | |
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| Two-Dimensional Warranty | |
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| Warranty Claims | |
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| Problems | |
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| References | |
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| Case Studies | |
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| Case 1: A Crane Spreader Subsystem | |
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| Case 2: Design of a Production Line | |
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| Case 3: An Explosive Detection System | |
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| Case 4: Reliability of Furnace Tubes | |
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| Case 5: Reliability of Smart Cards | |
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| Case 6: Life Distribution of Survivors of Qualification and Certification | |
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| Case 7: Reliability Modeling of Telecommunication Networks for the Air Traffic Control System | |
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| Case 8: System Design Using Reliability Objectives | |
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| Case 9: Reliability Modeling of Hydraulic Fracture Pumps | |
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| References | |
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| Appendices | |
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| Gamma Table | |
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| Computer Program to Calculate the Reliability of a Consecuttve-2-Out-Of-N:F System | |
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| Optimum Arrangement of Components in Consecuttve-2-Out-Of-N:F Systems | |
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| Computer Program for Solving the Time-Dependent Equations Using Runge-Kutta's Method | |
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| The Newton-Raphson Method | |
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| Coefficients of b<sub>i</sub>'s For i = 1, …, n | |
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| Variance of �<sub>2</sub><sup>*</sup>s in Terms of �<sub>2</sub><sup>2</sup>/n and K<sub>3</sub>/K<sub>2</sub><sup>*</sup> | |
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| Computer Listing of the Newton-Raphson Method | |
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| Coefficients (a<sub>i</sub> and b<sub>i</sub> of the Best Estimates of the Mean (�) And Standard Deviation (�) in Censored Samples Up to n = 20 From a Normal Population | |
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| Baker's Algorithm | |
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| Standard Normal Distribution | |
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| Critical Values of X<sup>2</sup> | |
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| Solutions of Selected Problems | |
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| Author Index | |
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| Subject Index | |