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Original Articles

Note on distribution-free estimation of maximum linear separation of two multivariate distributions

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Pages 145-158 | Published online: 20 Aug 2006

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Haiqiang Ma, Jin Yang, Sheng Xu, Chao Liu & Qinyi Zhang. (2022) Combination of multiple functional markers to improve diagnostic accuracy. Journal of Applied Statistics 49:1, pages 44-63.
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Albert Vexler, Aiyi Liu & Enrique Schisterman. (2010) Nonparametric deconvolution of density estimation based on observed sums. Journal of Nonparametric Statistics 22:1, pages 23-39.
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Yijian Huang & Martin G. Sanda. (2022) Linear biomarker combination for constrained classification. The Annals of Statistics 50:5.
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Youyi FongShuxin YinYing Huang. (2016) Combining biomarkers linearly and nonlinearly for classification using the area under the ROC curve. Statistics in Medicine 35:21, pages 3792-3809.
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Xiwei Chen, Albert Vexler & Marianthi Markatou. (2015) Empirical likelihood ratio confidence interval estimation of best linear combinations of biomarkers. Computational Statistics & Data Analysis 82, pages 186-198.
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Albert VexlerXiwei ChenJihnhee Yu. (2014) Evaluations and Comparisons of Treatment Effects Based on Best Combinations of Biomarkers with Applications to Biomedical Studies. Journal of Computational Biology 21:9, pages 709-721.
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Gregory Gurevich & Albert Vexler. (2010) A two-sample empirical likelihood ratio test based on samples entropy. Statistics and Computing 21:4, pages 657-670.
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Huazhen Lin, Ling Zhou, Heng Peng & Xiao-Hua Zhou. (2011) Selection and combination of biomarkers using ROC method for disease classification and prediction. Canadian Journal of Statistics 39:2, pages 324-343.
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Lili Tian, Albert Vexler, Li Yan & Enrique F. Schisterman. (2009) Confidence interval estimation of the difference between paired AUCs based on combined biomarkers. Journal of Statistical Planning and Inference 139:10, pages 3725-3732.
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