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Missing information and an optimal one-step plan in a Type II progressive censoring scheme

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  • Park, Sangun
  • Ng, Hon Keung Tony

Abstract

In this paper, we consider the missing information in determining the optimal allocation of removals in a Type II progressive censoring scheme. We provide a simple expression and a recurrence relation for the missing information. Then we provide a simple way of determining an optimal censoring scheme among a class of one-step censoring by using the missing information. Finally we give some examples to illustrate our results.

Suggested Citation

  • Park, Sangun & Ng, Hon Keung Tony, 2012. "Missing information and an optimal one-step plan in a Type II progressive censoring scheme," Statistics & Probability Letters, Elsevier, vol. 82(2), pages 396-402.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:2:p:396-402
    DOI: 10.1016/j.spl.2011.10.012
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    1. Ng, H. K. T. & Chan, P. S. & Balakrishnan, N., 2002. "Estimation of parameters from progressively censored data using EM algorithm," Computational Statistics & Data Analysis, Elsevier, vol. 39(4), pages 371-386, June.
    2. Balakrishnan, N. & Burkschat, Marco & Cramer, Erhard & Hofmann, Glenn, 2008. "Fisher information based progressive censoring plans," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 366-380, December.
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    Cited by:

    1. Park, Sangun & Ng, Hon Keung Tony & Chan, Ping Shing, 2015. "On the Fisher information and design of a flexible progressive censored experiment," Statistics & Probability Letters, Elsevier, vol. 97(C), pages 142-149.
    2. Beutner, E. & Cramer, E., 2014. "Using linear interpolation to reduce the order of the coverage error of nonparametric prediction intervals based on right-censored data," Journal of Multivariate Analysis, Elsevier, vol. 129(C), pages 95-109.
    3. Uoseph Hamdi Salemi & Sadegh Rezaei & Saralees Nadarajah, 2019. "A-optimal and D-optimal censoring plans in progressively Type-II right censored order statistics," Statistical Papers, Springer, vol. 60(4), pages 1349-1367, August.

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