Trace of the Wishart Matrix and Applications  

Trace of the Wishart Matrix and Applications

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作  者:T. Pham-Gia Dinh N. Thanh Duong T. Phong 

机构地区:[1]Université de Moncton, Moncton, Canada [2]University of Science, Hochiminh City, Vietnam [3]Ton Duc Thang University, Hochiminh City, Vietnam

出  处:《Open Journal of Statistics》2015年第3期173-190,共18页统计学期刊(英文)

摘  要:The trace of a Wishart matrix, either central or non-central, has important roles in various multi-variate statistical questions. We review several expressions of its distribution given in the literature, establish some new results and provide a discussion on computing methods on the distribution of the ratio: the largest eigenvalue to trace.The trace of a Wishart matrix, either central or non-central, has important roles in various multi-variate statistical questions. We review several expressions of its distribution given in the literature, establish some new results and provide a discussion on computing methods on the distribution of the ratio: the largest eigenvalue to trace.

关 键 词:TRACE Wishart MATRIX SPHERICITY LATENT Roots A-Hypergeometric Functions HUMBERT Function 

分 类 号:O1[理学—数学]

 

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