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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Computation Approaches for Parameter Estimation of Weibull Distribution

by
Yunn-Kuang Chu
* and
Jau-Chuan Ke
*
Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, R.O.C, Taiwan
*
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
Versions Notes

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

APA Style

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

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