Computation Approaches for Parameter Estimation of Weibull Distribution

Yunn-Kuang Chu; Jau-Chuan Ke

doi:10.3390/mca17010039

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1 April 2012

Computation Approaches for Parameter Estimation of Weibull Distribution

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Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, R.O.C, Taiwan

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Math. Comput. Appl.2012, 17(1), 39-47;https://doi.org/10.3390/mca17010039

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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

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