| 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 Notations 1.6 A Friendly Note 2 Mathematical Properties of Progressively Type-II Right Censored Order Statistics 2.1 General Continuous Distributions 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 Distributions 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 Relations for Single Moments 4.2.2 Recurrence Relations for Product Moments 4.2.3 Recursive Algorithm 4.3 The Doubly Truncated Exponential Distribution 4.3.1 Recurrence Relations for Single Moments 4.3.9. Recurrence Relations for Product Moments 4.3.3 Recursive Algorithm 4.4 The Pareto Distribution and Truncated Forms 4.4.1 Recurrence Relations for Single Moments 4.4.2 Recurrence Relations 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in the Case of Symmetric Distributions 5.3.1 Progressive Withdrawal 5.3.2 Properties of Progressively Type-II Left Withdrawn Order Statistics 5.3.3 Moments of Progressively Type-II Right Censored Order Statistics from Symmetric Distributions 5.4 Other Relations for Moments 5.5 First-Order Approximations 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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