Exponential Distribution: Theory, Methods and Applications

Description

Content: Cover Half Title Title Page Copyright Page Dedication Table of Contents List of Tables List of Figures Preface List of Contributors 1: Genesis 1.1 Preliminaries 1.2 Historical Remarks References 2: Basic Distributional Results and Properties 2.1 Introduction 2.2 Basic Results and Properties References 3: Order Statistics and Their Properties 3.1 Introduction 3.2 Basic Distributional Results and Properties 3.3 Recurrence Relations 3.4 Lorenz Ordering 3.5 Asymptotic Distributions 3.6 Relationship to Uniform Order Statistics 3.7 Relationship to Geometric Order Statistics 3.8 Relationship to Double Exponential Order Statistics3.9 Results for a Progressive Type-II Censored Sample 3.10 Results for Right-Truncated Exponential Distribution 3.11 Results for Doubly-Truncated Exponential Distribution References 4: MLEs Under Censoring and Truncation and Inference 4.1 Introduction 4.2 Parameter Estimation from Censored Samples 4.3 Estimation in Truncated Distributions 4.4 Errors of Estimates 4.5 Illustrative Examples References 5: Linear Estimation Under Censoring and Inference 5.1 Introduction 5.2 Type-II Right Censored Samples 5.3 Type-II Doubly Censored Samples5.4 Type-II Multiply Censored Samples 5.5 Type-II Progressively Right Censored Samples 5.6 General Type-II Progressively Censored Samples 5.7 Asymptotic Best Linear Unbiased Estimation Based On Optimally Selected Order Statistics 5.8 Illustrative Examples References 6: Reliability Estimation and Applications 6.1 Introduction 6.2 Estimation with the One-Parameter Model 6.3 Estimation with the Two-Parameter Model References 7: Inferences Under Two-Sample and Multi-Sample Situations 7.1 Introduction 7.2 Notation and Preliminaries 7.3 Two-Sample Inferences Under Independent Type II Censoring7.4 Comparison of Several Populations Under Independent Type II Censoring 7.5 Two-Sample Inferences Under Joint Type II Censoring 7.6 Miscellaneous Other Results References 8: Tolerance Limits and Acceptance Sampling Plans 8.1 Introduction 8.2 One-Sided Tolerance Limits 8.3 One- and Two-Sided Sampling Plans 8.4 Bayesian Sampling Plans References 9: Prediction Problems 9.1 Introduction 9.2 Types of Prediction Problems 9.3 Best Linear Unbiased and Invariant Predictors 9.4 Maximum Likelihood Prediction 9.5 Prediction Intervals and Regions9.6 Bayes Predictors and Prediction Regions 9.7 Other Prediction Methods 9.8 Miscellaneous Results 9.9 Concluding Remarks References 10: Bayesian Inference and Applications 10.1 Introduction 10.2 Bayesian Concepts 10.3 Life Testing and Reliability Estimation 10.4 Bayesian Classification Rules References 11: Conditional Inference and Applications 11.1 Ancillarity and Conditionality: A Brief Overview 11.2 A Simple Example 11.3 One-Parameter Exponential Model 11.4 Exponential Regression 11.5 Discussion References 12: Characterizations