| Progressive Censoring: Theory, Methods, and Applications Softcover Repri Edition Contributor(s): Balakrishnan, N. (Author), Aggarwala, Rita (Author) |
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ISBN: 1461270995 ISBN-13: 9781461270997 Publisher: Birkhauser OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General - Gardening |
| Dewey: 519.5 |
| Series: Statistics for Industry and Technology |
| Physical Information: 0.56" H x 7" W x 10" (1.04 lbs) 248 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 At the time of the first failure, Rl of the n - 1 surviving units are randomly withdrawn (or censored) from the life-testing experiment.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). |