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A-optimal and D-optimal censoring plans in progressively Type-II right censored order statistics

Author

Listed:
  • Uoseph Hamdi Salemi

    (Amirkabir University of Technology)

  • Sadegh Rezaei

    (Amirkabir University of Technology)

  • Saralees Nadarajah

    (University of Manchester)

Abstract

We study how the marginal distribution and Fisher information matrix of progressively Type-II right censored order statistics change when the progressive censoring plan changes. We consider the missing information and its connection with Fisher information matrix to determine the A-optimal and D-optimal plans in multiparameter case. We provide a simple expression and a simple way of determining an optimal censoring plan among a class of one-step censoring plans. Finally we give examples to illustrate results.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:stpapr:v:60:y:2019:i:4:d:10.1007_s00362-017-0877-9
    DOI: 10.1007/s00362-017-0877-9
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    References listed on IDEAS

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    1. 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.
    2. M. El-Din & A. Shafay, 2013. "One- and two-sample Bayesian prediction intervals based on progressively Type-II censored data," Statistical Papers, Springer, vol. 54(2), pages 287-307, May.
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    4. Chansoo Kim & Keunhee Han, 2010. "Estimation of the scale parameter of the half-logistic distribution under progressively type II censored sample," Statistical Papers, Springer, vol. 51(2), pages 375-387, June.
    5. 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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