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A study of risks of Bayes estimators in the generalized half-logistic distribution for progressively type-II censored samples

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  • Barranco-Chamorro, I.
  • Luque-Calvo, P.L.
  • Jiménez-Gamero, M.D.
  • Alba-Fernández, M.V.

Abstract

The problem of estimation of the shape parameter in a generalized half-logistic distribution for progressively type-II censored samples is of interest in reliability and survival analysis. In this paper, Bayesian methods of estimation based on quadratic and Linex loss functions are proposed. Closed expressions and approximations are obtained for the Bayes and posterior risks of Bayes estimators. These results allow us to assess the performance of estimators obtained under the previously cited loss functions. An application to a real dataset and a simulation study are included where the importance of the different features involved in the progressive type-II censoring scheme is also shown.

Suggested Citation

  • Barranco-Chamorro, I. & Luque-Calvo, P.L. & Jiménez-Gamero, M.D. & Alba-Fernández, M.V., 2017. "A study of risks of Bayes estimators in the generalized half-logistic distribution for progressively type-II censored samples," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 137(C), pages 130-147.
    • Handle: RePEc:eee:matcom:v:137:y:2017:i:c:p:130-147
    DOI: 10.1016/j.matcom.2016.09.003
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    References listed on IDEAS

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    1. Li, Xiuchun & Shi, Yimin & Wei, Jieqiong & Chai, Jian, 2007. "Empirical Bayes estimators of reliability performances using LINEX loss under progressively Type-II censored samples," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 73(5), pages 320-326.
    2. N. Balakrishnan, 2007. "Rejoinder on: Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 290-296, August.
    3. N. Balakrishnan & Rita Aggarwala, 1996. "Relationships for moments of order statistics from the right-truncated generalized half logistic distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(3), pages 519-534, September.
    4. N. Balakrishnan, 2007. "Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 211-259, August.
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    Cited by:

    1. Inmaculada Barranco-Chamorro & Rosa M. Carrillo-García, 2021. "Techniques to Deal with Off-Diagonal Elements in Confusion Matrices," Mathematics, MDPI, vol. 9(24), pages 1-22, December.

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