A Class of Bayesian Shrinkage Estimators for the Scale Parameter of Weibull Distribution Based on Censored Data

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In classical statistics, the parameter of interest is estimated based on sample information and using natural estimators such as maximum likelihood estimators. In Bayesian statistics, the Bayesian estimators are constructed based on prior knowledge and combining with it sample information. But, in some situations, the researcher has information about the unknown parameter as a guess. Bayesian shrinkage estimators can be constructed by Combining this non-sample information with sample information together with the prior knowledge, which is in the area of semi-classical statistics. In this paper, we introduce a class of Bayesian shrinkage estimators for the Weibull scale parameter as a generalization of the estimator at hand and consider the bias and risk of them under LINEX loss function. Then, the proposed estimators are compared using a real data set.

Language:
Persian
Published:
Journal of Statistical Sciences, Volume:14 Issue: 2, 2020
Pages:
549 to 564
https://www.magiran.com/p2164190  
سامانه نویسندگان
  • Naghizadeh Qomi، Mehran
    Author
    Naghizadeh Qomi, Mehran
    Associate Professor Statistics, Faculty of Mathematical Sciences, University of Mazandaran, بابلسر, Iran
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