Design of Experiments for Reliability Achievement

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WILEY SERIES IN PROBABILITY AND STATISTICS Design of Experiments for Reliability Achievement Wiley www.wiley.com/go/rigdon/designexperiments 1.1 Definitions of Reliability 1.2 Concepts for Lifetimes 1.3 Censoring Problems 2.1 The Exponential Distribution 2.2 The Weibull Distribution 2.3 The Gamma Distribution 2.4 The Lognormal Distribution 2.5 Log Location and Scale Distributions Problems 3.1 Nonparametric Estimation of the Survival Function Solution: Solution: Solution: 3.2 Maximum Likelihood Estimation 3.3 Inference for the Exponential Distribution Solution: 3.4 Inference for the Weibull 3.5 The SEV Distribution 3.6 Inference for Other Models Solution: 3.7 Bayesian Inference Solution: Solution: 3. A Kaplan-Meier Estimate of the Survival Function Problems 4.1 Introduction to Experimental Design 4.2 A Brief History of Experimental Design 4.3 Guidelines for Designing Experiments 4.4 Introduction to Factorial Experiments w 0) ■1— CM CO CM CD 4.5 The 2k Factorial Design 4.6 Fractional Factorial Designs Problems 5.1 Introduction 5.2 Response Surface Methods and Designs 5.3 Optimization Techniques in Response Surface Methodology 5.4 Designs for Fitting Response Surfaces Source LogWorth PValue Source LogWorth PValue Source DF Sum of Mean Square F Ratio Squares Term Estimate Std Error t Ratio Prob>|t| Problems 6.1 Introduction to Failure-Time Regression 6.2 Regression Models with Transformations \a Solution: Solution: 6.3 Generalized Linear Models Solution: Solution: 6.4 Incorporating Censoring in Regression Models 6.5 Weibull Regression Solution: Solution: Solution: Remove Add Edit FDR fA' denotes effects with containing effects above them) Solution: Solution: 6.6 Nonconstant Shape Parameter Solution: CM 6.7 Exponential Regression Solution: 6.8 The Scale-Accelerated Failure-Time Model 6.9 Checking Model Assumptions Solution: Solution: Solution: Problems 7.1 The Proportional Hazards Model 7.2 The Cox Proportional Hazards Model 7.3 Inference for the Cox Proportional Hazards Model Solution: Solution: 7.4 Checking Assumptions for the Cox PH Model Problems 8.1 Life Testing Solution: Solution: Solution: Solution: Solution: Solution: Solution: 8.2 Accelerated Life Testing Solution: Solution: Solution: Solution: Problems 9.1 Implications of Design for Reliability 9.2 Statistical Acceleration Models Solution: Solution: Solution: 9.3 Planning ALTs with Multiple Stress Factors at Multiple Stress Levels Solution: 9.4 Bayesian Design for GLM Solution: 9.5 Reliability Experiments with Design and Manufacturing Process Variables Solution: Solution: Problems C.1 Lognormal Distribution C.2 Weibull Distribution C.3 Lognormal Distribution C.4 Weibull Distribution Exponential Distribution: Probability Density Function: Abbreviation: Mean: Variance: Exponential Distribution (Alternate Parameterization): Probability Density Function: Survival Function: Hazard Function: Abbreviation: Mean: Variance: Weibull Distribution: Probability Density Function: Abbreviation: Mean: Variance: Weibull Distribution (Alternative Parameterization): Survival Function: Hazard Function: Abbreviation: Mean: Variance: Gamma Distribution: Probability Density Function: Survival Function: Abbreviation: Mean: Variance: Gamma Distribution (Alternative parameterization): Probability Density Function: Survival Function: Abbreviation: Mean: Variance: Generalized Gamma Distribution Probability Density Function: Abbreviation: Mean: Variance: Standardized Smallest Extreme Value Distribution Probability Density Function: Cumulative Distribution Function: Abbreviation: Mean: Variance: Probability Density Function: Cumulative Distribution Function: Abbreviation: Mean: Variance: