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Progressively censored variables sampling plans for two-parameter exponential distributions

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  • Arturo Fernandez

Abstract

Progressive censoring is quite useful in many practical situations where budget constraints are in place or there is a demand for rapid testing. Balasooriya & Saw (1998) present reliability sampling plans for the two-parameter exponential distribution, based on progressively censored samples. However, the operating characteristic (OC) curve derived in their paper does not depend on the sample size. This seems to be because, in their computations, they forget to consider the proportion of uncensored data, which also has an important influence on the subsequent developments. In consequence, their OC curve is only valid when there is no censoring. In this paper, some modifications are proposed. These are needed to obtain a proper design of the above sampling plan. Whenever at least two uncensored observations are available, the OC curve is derived in closed form and a procedure for determining progressively censored reliability sampling plans is also presented. Finally, the example considered by Balasooriya & Saw is used to illustrate the results developed in this paper for several censoring levels.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:32:y:2005:i:8:p:823-829
    DOI: 10.1080/02664760500080074
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    References listed on IDEAS

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    1. E. Page, 1977. "Approximations to the Cumulative Normal Function and its Inverse for Use on a Pocket Calculator," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(1), pages 75-76, March.
    2. Uditha Balasooriya & Sutaip L. C. Saw, 1998. "Reliability sampling plans for the two-parameter exponential distribution under progressive censoring," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(5), pages 707-714, June.
    3. 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.
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    Cited by:

    1. Fernández, Arturo J. & Pérez-González, Carlos J., 2012. "Optimal acceptance sampling plans for log-location–scale lifetime models using average risks," Computational Statistics & Data Analysis, Elsevier, vol. 56(3), pages 719-731.
    2. Fernández, Arturo J. & Pérez-González, Carlos J. & Aslam, Muhammad & Jun, Chi-Hyuck, 2011. "Design of progressively censored group sampling plans for Weibull distributions: An optimization problem," European Journal of Operational Research, Elsevier, vol. 211(3), pages 525-532, June.
    3. Wu, Shuo-Jye & Huang, Syuan-Rong, 2012. "Progressively first-failure censored reliability sampling plans with cost constraint," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 2018-2030.
    4. Fernández, Arturo J., 2012. "Minimizing the area of a Pareto confidence region," European Journal of Operational Research, Elsevier, vol. 221(1), pages 205-212.

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