Shuling Wang^1*, Lin Zheng², Jiangtao Dai³

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¹ Department of Fundamental Course, Air Force Logistics College, Xuzhou, China.
² School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, China.
³ Fundamental Science Department, North China Institute of Astronautic Engineering, Langfang, China.
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Abstract: In this paper, we investigate the empirical likelihood diagnosis of modal linear regression models. The empirical likelihood ratio function based on modal regression estimation method for the regression coefficient is introduced. First, the estimation equation based on empirical likelihood method is established. Then, some diagnostic statistics are proposed. At last, we also examine the performance of proposed method for finite sample sizes through simulation study.

Keywords: Modal Linear Regression Model, Empirical Likelihood, Outliers, Influence Analysis

Cite this paper: Wang, S. , Zheng, L. and Dai, J. (2014) Empirical Likelihood Diagnosis of Modal Linear Regression Models. Journal of Applied Mathematics and Physics, 2, 948-952. doi: 10.4236/jamp.2014.210107.

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