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On the Bias of the Maximum Likelihood Estimators of Parameters of the Weibull Distribution

Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, China
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Math. Comput. Appl. 2017, 22(1), 19; https://doi.org/10.3390/mca22010019
Received: 18 September 2016 / Accepted: 20 January 2017 / Published: 15 February 2017
Usually, the parameters of a Weibull distribution are estimated by maximum likelihood estimation. To reduce the biases of the maximum likelihood estimators (MLEs) of two-parameter Weibull distributions, we propose analytic bias-corrected MLEs. Two other common estimators of Weibull distributions, least-squares estimators and percentiles estimators, are also introduced. Based on a comparison of their performances in the simulation study, we strongly recommend the analytic bias-corrected MLEs for the parameters of Weibull distributions, especially when the sample size is small. View Full-Text
Keywords: Weibull distribution; maximum likelihood estimators; bias correction; bootstrap; percentiles; least squares estimators Weibull distribution; maximum likelihood estimators; bias correction; bootstrap; percentiles; least squares estimators
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MDPI and ACS Style

Chen, M.; Zhang, Z.; Cui, C. On the Bias of the Maximum Likelihood Estimators of Parameters of the Weibull Distribution. Math. Comput. Appl. 2017, 22, 19.

AMA Style

Chen M, Zhang Z, Cui C. On the Bias of the Maximum Likelihood Estimators of Parameters of the Weibull Distribution. Mathematical and Computational Applications. 2017; 22(1):19.

Chicago/Turabian Style

Chen, Man; Zhang, Zheng; Cui, Cen. 2017. "On the Bias of the Maximum Likelihood Estimators of Parameters of the Weibull Distribution" Math. Comput. Appl. 22, no. 1: 19.

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