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| Preface | p. xi |
| Prelude | p. xiv |
| Reliability and Hazard Functions | p. 1 |
| Introduction | p. 1 |
| Reliability Definition and Estimation | p. 3 |
| Hazard Functions | p. 15 |
| Multivariate Hazard Rate | p. 55 |
| Competing Risk Model and Mixture of Failure Rates | p. 59 |
| Discrete Probability Distributions | p. 64 |
| Mean Time to Failure | p.... MORE |
| Mean Residual Life (MRL) | p. 70 |
| Time of First Failure 71 Problems | p. 73 |
| References | p. 85 |
| System Reliability Evaluation | p. 87 |
| Introduction | p. 87 |
| Reliability Block Diagrams | p. 87 |
| Series Systems | p. 91 |
| Parallel Systems | p. 93 |
| Parallel-Series, Series-Parallel, and Mixed-Parallel Systems | p. 95 |
| Consecutive-k-out-of-n: F System | p. 104 |
| Reliability of k-out-of-n Systems | p. 113 |
| Reliability of k-out-of-n Balanced Systems | p. 115 |
| Complex Reliability Systems | p. 117 |
| Special Networks | p. 131 |
| Multistate Models | p. 132 |
| Redundancy | p. 138 |
| Importance Measures of Components | p. 142 |
| Problems | p. 154 |
| References | p. 167 |
| Time-And Failure-Dependent Reliability | p. 170 |
| Introduction | p. 170 |
| Nonrepairable Systems | p. 170 |
| Mean Time to FaUure (MTTF) | p. 178 |
| Repairable Systems | p. 187 |
| Availability | p. 198 |
| Dependent Failures | p. 207 |
| Redundancy and Standby | p. 212 |
| Problems | p. 222 |
| References | p. 231 |
| Estimation Methods of the Parameters of Failure-Time Distributions | p. 233 |
| Introduction | p. 233 |
| Method of Moments | p. 234 |
| The Likelihood Function | p. 241 |
| Method of Least Squares | p. 256 |
| Bayesian Approach | p. 261 |
| Generation of Failure-Time Data | p. 265 |
| Problems | p. 267 |
| References | p. 272 |
| Parametric Reliability Models | p. 273 |
| Introduction | p. 273 |
| Approach 1: Historical Data | p. 273 |
| Approach 2: Operational Life Testing | p. 274 |
| Approach 3: Burn-In Testing | p. 275 |
| Approach 4: Accelerated Life Testing | p. 275 |
| Types of Censoring | p. 277 |
| The Exponential Distribution | p. 279 |
| The Rayleigh Distribution | p. 294 |
| The Weibull Distribution | p. 302 |
| Lognormal Distribution | p. 314 |
| The Gamma Distribution | p. 321 |
| The Extreme Value Distribution | p. 329 |
| The Half-Logistic Distribution | p. 331 |
| Frechet Distribution | p. 338 |
| Birnbaum-Saunders Distribution | p. 341 |
| Linear Models | p. 344 |
| Multicensored Data | p. 346 |
| Problems | p. 351 |
| References | p. 361 |
| Models for Accelerated Ufe Testing | p. 364 |
| Introduction | p. 364 |
| Types of Reliability Testing | p. 365 |
| Accelerated Life Testing | p. 368 |
| ALT Models | p. 372 |
| Statistics-Based Models: Nonparametric | p. 386 |
| Physics-Statistics-Based Models | p. 404 |
| Physics-Experimental-Based Models | p. 412 |
| Degradation Models | p. 415 |
| Statistical Degradation Models | p. 419 |
| Accelerated Life Testing Plans | p. 421 |
| Problems | p. 425 |
| References | p. 436 |
| Renewal Processes and Expected Number of Failures | p. 440 |
| Introduction | p. 440 |
| Parametric Renewal Function Estimation | p. 441 |
| Nonparametric Renewal Function Estimation | p. 455 |
| Alternating Renewal Process | p. 465 |
| Approximations of M(t) | p. 468 |
| Other Types of Renewal Processes | p. 469 |
| The Variance of Number of Renewals | p. 471 |
| Confidence Intervals for the Renewal Function | p. 477 |
| Remaining Life at Time T | p. 479 |
| Poisson Processes | p. 481 |
| Laplace Transform and Random Variables | p. 485 |
| Problems | p. 487 |
| References | p. 494 |
| Preventive Maintenance and Inspection | p. 496 |
| Introduction | p. 496 |
| Preventive Maintenance and Replacement Models: Cost Minimization | p. 497 |
| Preventive Maintenance and Replacement Models: Downtime Minimization | p. 506 |
| Minimal Repair Models | p. 509 |
| Optimum Replacement Intervals for Systems Subject to Shocks | p. 513 |
| Preventive Maintenance and Number of Spares | p. 517 |
| Group Maintenance | p. 524 |
| Periodic Inspection | p. 527 |
| Condition-Based Maintenance | p. 535 |
| Online Surveillance and Monitoring | p. 537 |
| Problems | p. 542 |
| References | p. 548 |
| Warranty Models | p. 551 |
| Introduction | p. 551 |
| Warranty Models for Nonrepairable Products | p. 553 |
| Warranty Models for Repairable Products | p. 574 |
| Two-Dimensional Warranty | p. 588 |
| Warranty Claims | p. 590 |
| Problems | p. 597 |
| References | p. 601 |
| Case Studies | p. 603 |
| Case 1: A Crane Spreader Subsystem | p. 603 |
| Case 2: Design of a Production Line | p. 609 |
| Case 3: An Explosive Detection System | p. 617 |
| Case 4: Reliability of Furnace Tubes | p. 623 |
| Case 5: Reliability of Smart Cards | p. 629 |
| Case 6: Life Distribution of Survivors of Qualification and Certification | p. 632 |
| Case 7: Reliability Modeling of Telecommunication Networks for the Air Traffic Control System | p. 639 |
| Case 8: System Design Using Reliability Objectives | p. 648 |
| Case 9: Reliability Modeling of Hydraulic Fracture Pumps | p. 658 |
| References | p. 663 |
| Appendices | |
| Gamma Table | p. 667 |
| Computer Program to Calculate the Reliability of a Consecuttve-2-Out-Of-N:F System | p. 674 |
| Optimum Arrangement of Components in Consecuttve-2-Out-Of-N:F Systems | p. 676 |
| Computer Program for Solving the Time-Dependent Equations Using Runge-Kutta's Method | p. 682 |
| The Newton-Raphson Method | p. 684 |
| Coefficients of bi's For i = 1, …, n | p. 689 |
| Variance of ¿2*s in Terms of ¿22/n and K3/K2* | p. 716 |
| Computer Listing of the Newton-Raphson Method | p. 722 |
| Coefficients (ai and bi of the Best Estimates of the Mean (¿) And Standard Deviation (¿) in Censored Samples Up to n = 20 From a Normal Population | p. 724 |
| Baker's Algorithm | p. 737 |
| Standard Normal Distribution | p. 741 |
| Critical Values of X2 | p. 747 |
| Solutions of Selected Problems | p. 750 |
| Author Index | p. 759 |
| Subject Index | p. 764 |
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