We introduce the so-called naive tests and give a brief review of the new developments. Naive testing methods are easy to understand and perform robustly, especially when the dimension is large. We focus mainly on reviewing some naive testing methods for the mean vectors and covariance matrices of high-dimensional populations, and we believe that this naive testing approach can be used widely in many other testing problems.
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Univ Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USAUniv Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USA
Yu, Xiufan
Li, Danning
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Northeast Normal Univ, Sch Math & Stat, Changchun, Peoples R China
Northeast Normal Univ, KLAS, Changchun, Peoples R ChinaUniv Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USA
Li, Danning
Xue, Lingzhou
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Penn State Univ, Dept Stat, University Pk, PA 16802 USAUniv Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USA
Xue, Lingzhou
Li, Runze
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Penn State Univ, Dept Stat, University Pk, PA 16802 USAUniv Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USA
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Northeast Normal Univ, KLASMOE & Sch Math & Stat, 5268 Renmin St, Changchun, Jilin, Peoples R ChinaNortheast Normal Univ, KLASMOE & Sch Math & Stat, 5268 Renmin St, Changchun, Jilin, Peoples R China
Wu, Lixiu
Hu, Jiang
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Northeast Normal Univ, KLASMOE & Sch Math & Stat, 5268 Renmin St, Changchun, Jilin, Peoples R ChinaNortheast Normal Univ, KLASMOE & Sch Math & Stat, 5268 Renmin St, Changchun, Jilin, Peoples R China