Testing an optimally weighted combination of common and/or rare variants with multiple traits

• Zhenchuan Wang,

  Roles Formal analysis, Writing – original draft

  Affiliation Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, United States of America

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• Qiuying Sha,

  Roles Methodology, Writing – review & editing

  Affiliation Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, United States of America

  http://orcid.org/0000-0002-9342-3269

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• Shurong Fang,

  Roles Formal analysis, Visualization, Writing – review & editing

  Affiliation Department of Mathematics and Computer Science, John Carroll University, University Heights, Ohio, United States of America

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• Kui Zhang,

  Roles Writing – review & editing

  Affiliation Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, United States of America

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• Shuanglin Zhang

  Roles Formal analysis, Methodology, Writing – original draft, Writing – review & editing

  * E-mail: shuzhang@mtu.edu

  Affiliation Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, United States of America

  http://orcid.org/0000-0002-9478-1199

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