Progressive Censoring: Theory, Methods, and Applications

✍ Scribed by N. Balakrishnan, Rita Aggarwala (auth.)

• Publisher: Birkhäuser Basel
• Year: 2000
• Tongue: English
• Leaves: 254
• Series: Statistics for Industry and Technology
• Edition: 1
• Category: Library

✦ Synopsis

Censored sampling arises in a life-testing experiment whenever the experimenter does not observe (either intentionally or unintentionally) the failure times of all units placed on a life-test. Inference based on censored sampling has been studied during the past 50 years by numerous authors for a wide range of lifetime distributions such as normal, exponential, gamma, Rayleigh, Weibull, extreme value, log-normal, inverse Gaussian, logistic, Laplace, and Pareto. Naturally, there are many different forms of censoring that have been discussed in the literature. In this book, we consider a versatile scheme of censoring called progressive Type-II censoring. Under this scheme of censoring, from a total of n units placed on a life-test, only m are completely observed until failure. At the time of the first failure, Rl of the n - 1 surviving units are randomly withdrawn (or censored) from the life-testing experiment. At the time of the next failure, R2 of the n - 2 -Rl surviving units are censored, and so on. Finally, at the time of the m-th failure, all the remaining Rm = n - m -Rl - . . . - Rm-l surviving units are censored. Note that censoring takes place here progressively in m stages. Clearly, this scheme includes as special cases the complete sample situation (when m = nand Rl = . . . = Rm = 0) and the conventional Type-II right censoring situation (when Rl = . . . = Rm-l = 0 and Rm = n - m).

✦ Table of Contents

Front Matter....Pages i-xv
Introduction....Pages 1-10
Mathematical Properties of Progressively Type-II Right Censored Order Statistics....Pages 11-29
Simulational Algorithms....Pages 31-40
Recursive Computation and Algorithms....Pages 41-65
Alternative Computational Methods....Pages 67-83
Linear Inference....Pages 85-115
Likelihood Inference: Type-I and Type-II Censoring....Pages 117-138
Linear Prediction....Pages 139-165
Conditional Inference....Pages 167-181
Optimal Censoring Schemes....Pages 183-214
Acceptance Sampling Plans....Pages 215-222
Back Matter....Pages 223-248

✦ Subjects

Statistical Theory and Methods; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences