Homogeneity Test of Multi-Sample Covariance Matrices in High Dimensions
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作者:
Sun, Peng
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机构:
East China Normal Univ, Dept Stat, Shanghai 200062, Peoples R China
East China Normal Univ, Sch Stat, KLATASDS MOE, Shanghai 200062, Peoples R China
Duke NUS Med Sch, Ctr Quantitat Med, Singapore 169857, SingaporeEast China Normal Univ, Dept Stat, Shanghai 200062, Peoples R China
Sun, Peng
[1
,2
,3
]
Tang, Yincai
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h-index: 0
机构:
East China Normal Univ, Dept Stat, Shanghai 200062, Peoples R China
East China Normal Univ, Sch Stat, KLATASDS MOE, Shanghai 200062, Peoples R ChinaEast China Normal Univ, Dept Stat, Shanghai 200062, Peoples R China
Tang, Yincai
[1
,2
]
Cao, Mingxiang
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机构:
Anhui Normal Univ, Sch Math & Stat, Wuhu 241002, Anhui, Peoples R ChinaEast China Normal Univ, Dept Stat, Shanghai 200062, Peoples R China
Cao, Mingxiang
[4
]
机构:
[1] East China Normal Univ, Dept Stat, Shanghai 200062, Peoples R China
[2] East China Normal Univ, Sch Stat, KLATASDS MOE, Shanghai 200062, Peoples R China
[3] Duke NUS Med Sch, Ctr Quantitat Med, Singapore 169857, Singapore
[4] Anhui Normal Univ, Sch Math & Stat, Wuhu 241002, Anhui, Peoples R China
In this paper, a new test statistic based on the weighted Frobenius norm of covariance matrices is proposed to test the homogeneity of multi-group population covariance matrices. The asymptotic distributions of the proposed test under the null and the alternative hypotheses are derived, respectively. Simulation results show that the proposed test procedure tends to outperform some existing test procedures.