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Article

Computation Approaches for Parameter Estimation of Weibull Distribution

Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, R.O.C, Taiwan
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Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2012, 17(1), 39-47; https://doi.org/10.3390/mca17010039
Published: 1 April 2012

Abstract

This paper examines the estimation comparison of two methods for Weibull parameters, one is the maximum likelihood method and the other is the least squares method. A numerical simulation study is carried out to understand performance of the two methods. Based on sample root mean square errors, we make a comparison between the two computation approaches. We find that the least squares method significantly outperforms the maximum likelihood when the sample size is small.
Keywords: Weibull distribution; Maximum likelihood method; Least squares method; Sample root mean square error; Simulation Weibull distribution; Maximum likelihood method; Least squares method; Sample root mean square error; Simulation

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MDPI and ACS Style

Chu, Y.-K.; Ke, J.-C. Computation Approaches for Parameter Estimation of Weibull Distribution. Math. Comput. Appl. 2012, 17, 39-47. https://doi.org/10.3390/mca17010039

AMA Style

Chu Y-K, Ke J-C. Computation Approaches for Parameter Estimation of Weibull Distribution. Mathematical and Computational Applications. 2012; 17(1):39-47. https://doi.org/10.3390/mca17010039

Chicago/Turabian Style

Chu, Yunn-Kuang, and Jau-Chuan Ke. 2012. "Computation Approaches for Parameter Estimation of Weibull Distribution" Mathematical and Computational Applications 17, no. 1: 39-47. https://doi.org/10.3390/mca17010039

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