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Local Empirical Likelihood Diagnosis of Varying Coefficient Density-Ratio Models Based on Case-Control Data
Department of Fundamental Course, Air Force Logistics College, Xuzhou, China
School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, China
Fundamental Science Department, North China Institute of Astronautic Engineering, Langfang, China
- 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
Open Journal of Statistics·Volume 04 (2014)·Pages 751–756·Published 13 October 2014·DOI10.4236/ojs.2014.49070
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Abstract
In this paper, a varying-coefficient density-ratio model for case-control studies is developed. We investigate the local empirical likelihood diagnosis of varying coefficient density-ratio model for case-control data. The local empirical log-likelihood ratios for the nonparametric coefficient functions are introduced. First, the estimation equations based on empirical likelihood method are established. Then, a few of diagnostic statistics are proposed. At last, we also examine the performance of proposed method for finite sample sizes through simulation studies.
KeywordsVarying-Coefficient Density-Ratio ModelLocal Empirical LikelihoodOutliersInfluence Analysis
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