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A note on the unbiased estimator of Σ2

Bu Zhou and Jia Guo

Statistics & Probability Letters, 2017, vol. 129, issue C, 141-146

Abstract: This paper gives simple and intuitive derivations of three equivalent forms of a distribution-free and unbiased estimator of the squared covariance matrix Σ2. Particularly, computationally efficient forms of the unbiased estimators of Σ2 and its trace are derived from the computationally intensive U-statistic forms.

Keywords: Unbiased estimators; U-statistics; Covariance matrix; High-dimensional data (search for similar items in EconPapers)
Date: 2017
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Handle: RePEc:eee:stapro:v:129:y:2017:i:c:p:141-146