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A Finite Mixture Three-Parameter Weibull Model for the Analysis of Wind Speed Data |
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| Authors: | Xu Qin Jiang-She Zhang Xiao-Dong Yan |
| Institution: | 1. School of Mathematical Sciences , University of Electronic Science and Technology of China , Chengdu , P.R. China;2. Faculty of Science and State Key Laboratory for Manufacturing Systems Engineering , Xi'an Jiaotong University , Xi'an , P.R. China jiayouxuxu@gmail.com;4. Faculty of Science and State Key Laboratory for Manufacturing Systems Engineering , Xi'an Jiaotong University , Xi'an , P.R. China;5. Key Laboratory of Regional Climate-Environment Research for Temperature East Asia , Institute of Atmospheric Physics, Chinese Academy of Science , Beijing , P.R. China |
| Abstract: | This article presents a mixture three-parameter Weibull distribution to model wind speed data. The parameters are estimated by using maximum likelihood (ML) method in which the maximization problem is regarded as a nonlinear programming with only inequality constraints and is solved numerically by the interior-point method. By applying this model to four lattice-point wind speed sequences extracted from National Centers for Environmental Prediction (NCEP) reanalysis data, it is observed that the mixture three-parameter Weibull distribution model proposed in this paper provides a better fit than the existing Weibull models for the analysis of wind speed data under study. |
| Keywords: | Interior-point algorithm Maximum likelihood estimation Mixture Weibull distribution Wind speed |