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Expected experiment times for the Weibull distribution under progressive censoring with random removals

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  • Siu-Keung Tse
  • Hak-Keung Yuen

Abstract

This paper considers the expected experiment times for Weibull-distributed lifetimes under type II progressive censoring, with the numbers of removals being random. The formula to compute the expected experiment times is given. A detailed numerical study of this expected time is carried out for different combinations of model parameters. Furthermore, the ratio of the expected experiment time under this type of progressive censoring to the expected experiment time under complete sampling is studied.

Suggested Citation

  • Siu-Keung Tse & Hak-Keung Yuen, 1998. "Expected experiment times for the Weibull distribution under progressive censoring with random removals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(1), pages 75-83.
    • Handle: RePEc:taf:japsta:v:25:y:1998:i:1:p:75-83
    DOI: 10.1080/02664769823313
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    Cited by:

    1. Arturo Fernandez, 2005. "Progressively censored variables sampling plans for two-parameter exponential distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(8), pages 823-829.
    2. Wu, Shuo-Jye & Kus, Coskun, 2009. "On estimation based on progressive first-failure-censored sampling," Computational Statistics & Data Analysis, Elsevier, vol. 53(10), pages 3659-3670, August.
    3. Maram Salem & Zeinab Amin & Moshira Ismail, 2020. "Progressively Censored Reliability Sampling Plans Based on Mean Product Lifetime," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 82(1), pages 1-33, May.
    4. Siu-Keung Tse & Chunyan Yang, 2003. "Reliability sampling plans for the Weibull distribution under Type II progressive censoring with binomial removals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(6), pages 709-718.

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