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. 67 |

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 b_{i}'s For i = 1, …, n | p. 689 |

Variance of ¿_{2}^{*}s in Terms of ¿_{2}^{2}/n and K_{3}/K_{2}^{*} | p. 716 |

Computer Listing of the Newton-Raphson Method | p. 722 |

Coefficients (a_{i} and b_{i} 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 X^{2} | p. 747 |

Solutions of Selected Problems | p. 750 |

Author Index | p. 759 |

Subject Index | p. 764 |

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