Moment Estimation of the Parameters in Rayleigh Distribution with Two Parameters |
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| Authors: | Yaowu Li Meihua Li |
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| Institution: | 1. School of Science , Xi'an Jiaotong University , Xi'an , Shaanxi , China liyaowu@mail.xjtu.edu.cn;3. School of Electronic and Information Engineering , Xi'an Jiaotong University , Xi'an , Shaanxi , China |
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| Abstract: | In this article, the moment estimation of the parameters in two-parameter Rayleigh distribution is studied. For given sample values, the necessary and sufficient conditions on the estimating equations which have unique solution are obtained, and it is also proved that these conditions are satisfied on asymptotic probability 1. Furthermore, the strong consistency and asymptotic normality are obtained. Finally, some simulation experiments are made to show the conclusions. |
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| Keywords: | Asymptotic normality Moment estimation Rayleigh distribution Strong consistency |
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