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This new book offers a thorough guide to the theory and methods of progressive censoring for practitioners and professionals in applied statistics, quality control, life testing and reliability testing. In many industrial experiments involving lifetimes of machines or units, experiments have to be terminated early due to a variety of circumstances. Samples that arise from such experiments are called censored samples, and a new, efficient alternative method is referred to as "progressive censoring" (where the removal of live units at time of failure is employed).

Preface

List of Tables

1 Introduction

　1.1 The Big Picture

　1.2 Genesis

　1.3 The Need for Progressive Censoring

　1.4 A Relatively Unexplored Idea

　1.5 Mathematical Notati***

　1.6 A Friendly Note

2 Mathematical Properties of Progressively Type-II Right Censored Order Statistics

　2.1 General Continuous Distributi***

　 2.1.1 Introduction

　 2.1.2 Results

　2.2 The Exponential Distribution: Spacings

　 2.2.1 Introduction

　 2.2.2 Progressively Type-II Right Censored Spacings

　 2.2.3 Deriving Moments Using Independent Spacings

　2.3 The Uniform Distribution: Ratios

　 2.3.1 Introduction _

　 2.3.2 Independent Ratios

　 2.3.3 Deriving Moments Using Independent Ratios

　2.4 The Pareto Distribution: Ratios _

　 2.4.1 Introduction

　 2.4.2 Independent Ratios

　 2.4.3 Deriving Moments Using Independent Ratios

　2.5 Bounds for Means and Variances

3 Simulational Algorithms

3.1 Introduction

3.2 Simulation Using the Uniform Distribution

3.3 Simulation Using the Exponential Distribution

3.4 General Progressively Type-II Censored Samples

　 3.4.1 Arbitrary Continuous Distributi***

　 3.4.2 The Exponential Distribution

　 3.4.3 The Uniform Distribution

4 Recursive Computation and Algorithms

4.1 Introduction

4.2 The Exponential Distribution

　 4.2.1 Recurrence Relati*** for Single Moments

　 4.2.2 Recurrence Relati*** for Product Moments

　 4.2.3 Recursive Algorithm

4.3 The Doubly Truncated Exponential Distribution

　 4.3.1 Recurrence Relati*** for Single Moments

　 4.3.9. Recurrence Relati*** for Product Moments

　 4.3.3 Recursive Algorithm

4.4 The Pareto Distribution and Truncated Forms

　 4.4.1 Recurrence Relati*** for Single Moments

　 4.4.2 Recurrence Relati*** for Product Moments

　 4.4.3 Recursive Algorithm

4.5 The Power Function Distribution and Truncated Forms

5 Alternative Computational Methods

5.1 Introduction

5.2 Formulas in Terms of Moments of Usual Order Statistics

5.3 Formulas in the Case of Symmetric Distributi***

　5.3.1 Progressive Withdrawal

　 5.3.2 Properties of Progressively Type-II Left Withdrawn Order Statistics

　5.3.3 Moments of Progressively Type-II Right Censored Order Statistics from Symmetric Distributi***

5.4 Other Relati*** for Moments

5.5 First-Order Approximati*** to the Moments

……

6 Linear Inference

7 Likelihood Inference: Type-I and Type-II Censoring

8 Linear Prediction

9 Conditional Inference

10 Optimal Censoring Schemes

11 Acceptance Sampling Plans

Bibliography

Author Index

Subject Index

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