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Estimation for the half-logistic distribution based on multiply Type-II hybrid censoring

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  • Jeon, Young Eun
  • Kang, Suk-Bok

Abstract

In this paper, some estimators of the scale parameter of the half-logistic distribution are derived under the multiply Type-II hybrid censoring scheme. We propose three methods. First, we obtain the maximum likelihood estimator of the scale parameter of the half-logistic distribution. Second, we propose some approximate maximum likelihood estimators of the scale parameter by employing three different types of Taylor series expansions. Lastly, we obtain the Bayes estimators by employing some prior distributions and loss functions. The interval estimations such as the asymptotic confidence interval and the credible interval and the highest posterior density interval are obtained. To assess the performance of the proposed estimators, we obtain the mean squared error, average length of 95% interval and coverage probability through Monte Carlo simulation and applies to the real dataset.

Suggested Citation

  • Jeon, Young Eun & Kang, Suk-Bok, 2020. "Estimation for the half-logistic distribution based on multiply Type-II hybrid censoring," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    • Handle: RePEc:eee:phsmap:v:550:y:2020:i:c:s037843712030220x
    DOI: 10.1016/j.physa.2020.124501
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    References listed on IDEAS

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    1. Balakrishnan, N. & Chan, P. S., 1992. "Estimation for the scaled half logistic distribution under Type II censoring," Computational Statistics & Data Analysis, Elsevier, vol. 13(2), pages 123-141, March.
    2. 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.
    3. Jung-In Seo & Suk-Bok Kang, 2016. "An objective Bayesian analysis of the two-parameter half-logistic distribution based on progressively type-II censored samples," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(12), pages 2172-2190, September.
    4. Essam AL-Hussaini & Alaa Abdel-Hamid & Atef Hashem, 2015. "One-sample Bayesian prediction intervals based on progressively type-II censored data from the half-logistic distribution under progressive stress model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(7), pages 771-783, October.
    5. Balakrishnan, N. & Saleh, H.M., 2011. "Relations for moments of progressively Type-II censored order statistics from half-logistic distribution with applications to inference," Computational Statistics & Data Analysis, Elsevier, vol. 55(10), pages 2775-2792, October.
    6. A. Childs & B. Chandrasekar & N. Balakrishnan & D. Kundu, 2003. "Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(2), pages 319-330, June.
    7. Seo, Jung-In & Kang, Suk-Bok, 2015. "Pivotal inference for the scaled half logistic distribution based on progressively Type-II censored samples," Statistics & Probability Letters, Elsevier, vol. 104(C), pages 109-116.
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