Statistics for Industry and Technology

Progressive Censoring

Theory, Methods, and Applications

Authors: Balakrishnan, N, Aggarwala, Rita

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About this book

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 At the time of the first failure, Rl of the n - 1 surviving units are randomly withdrawn (or censored) from the life-testing experiment.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 (11 chapters)

  • Introduction

    Balakrishnan, N. (et al.)

    Pages 1-10

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

    Balakrishnan, N. (et al.)

    Pages 11-29

  • Simulational Algorithms

    Balakrishnan, N. (et al.)

    Pages 31-40

  • Recursive Computation and Algorithms

    Balakrishnan, N. (et al.)

    Pages 41-65

  • Alternative Computational Methods

    Balakrishnan, N. (et al.)

    Pages 67-83

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-1-4612-1334-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-0-8176-4001-9
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $199.00
price for USA
  • ISBN 978-1-4612-7099-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Progressive Censoring
Book Subtitle
Theory, Methods, and Applications
Authors
Series Title
Statistics for Industry and Technology
Copyright
2000
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1334-5
DOI
10.1007/978-1-4612-1334-5
Hardcover ISBN
978-0-8176-4001-9
Softcover ISBN
978-1-4612-7099-7
Series ISSN
2364-6241
Edition Number
1
Number of Pages
XV, 248
Topics