# Progressive Censoring

## Theory, Methods, and Applications

Book

Part of the Statistics for Industry and Technology book series (SIT)

1. Front Matter
Pages i-xv
2. N. Balakrishnan, Rita Aggarwala
Pages 1-10
3. N. Balakrishnan, Rita Aggarwala
Pages 11-29
4. N. Balakrishnan, Rita Aggarwala
Pages 31-40
5. N. Balakrishnan, Rita Aggarwala
Pages 41-65
6. N. Balakrishnan, Rita Aggarwala
Pages 67-83
7. N. Balakrishnan, Rita Aggarwala
Pages 85-115
8. N. Balakrishnan, Rita Aggarwala
Pages 117-138
9. N. Balakrishnan, Rita Aggarwala
Pages 139-165
10. N. Balakrishnan, Rita Aggarwala
Pages 167-181
11. N. Balakrishnan, Rita Aggarwala
Pages 183-214
12. N. Balakrishnan, Rita Aggarwala
Pages 215-222
13. Back Matter
Pages 223-248

### Introduction

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 At the time of the first failure, Rl of the n - 1 surviving units are randomly withdrawn (or censored) from the life-testing experiment.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).

### Keywords

Censoring Likelihood Norm Normal distribution Simulation Variance censored samples life testing progressive censoring quality quality control reliability testing statistics

#### Authors and affiliations

1. 1.Department of Mathematics and StatisticsMcMaster UniversityHamiltonCanada
2. 2.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada

### Bibliographic information

• Book Title Progressive Censoring
• Book Subtitle Theory, Methods, and Applications
• Authors N. Balakrishnan
Rita Aggarwala
• Series Title Statistics for Industry and Technology
• DOI https://doi.org/10.1007/978-1-4612-1334-5
• Copyright Information Birkhäuser Boston 2000
• Publisher Name Birkhäuser, Boston, MA
• eBook Packages
• Hardcover ISBN 978-0-8176-4001-9
• Softcover ISBN 978-1-4612-7099-7
• eBook ISBN 978-1-4612-1334-5
• Edition Number 1
• Number of Pages XV, 248
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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