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Statistical analysis of Weibull distributed lifetime data under Type II progressive censoring with binomial removals

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  • Siu Keung Tse
  • Chunyan Yang
  • Hak-Keung Yuen

Abstract

This paper considers the analysis of Weibull distributed lifetime data observed under Type II progressive censoring with random removals, where the number of units removed at each failure time follows a binomial distribution. Maximum likelihood estimators of the parameters and their asymptotic variances are derived. The expected time required to complete the life test under this censoring scheme is investigated.

Suggested Citation

  • Siu Keung Tse & Chunyan Yang & Hak-Keung Yuen, 2000. "Statistical analysis of Weibull distributed lifetime data under Type II progressive censoring with binomial removals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(8), pages 1033-1043.
    • Handle: RePEc:taf:japsta:v:27:y:2000:i:8:p:1033-1043
    DOI: 10.1080/02664760050173355
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    Cited by:

    1. Zeinab Amin, 2008. "Bayesian inference for the Pareto lifetime model under progressive censoring with binomial removals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(11), pages 1203-1217.
    2. Manoj Chacko & Rakhi Mohan, 2019. "Bayesian analysis of Weibull distribution based on progressive type-II censored competing risks data with binomial removals," Computational Statistics, Springer, vol. 34(1), pages 233-252, March.
    3. Kuan-Fu Shen & Yu-Jan Shen & Lii-Yuh Leu, 2011. "Design of optimal step–stress accelerated life tests under progressive type I censoring with random removals," Quality & Quantity: International Journal of Methodology, Springer, vol. 45(3), pages 587-597, April.
    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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