Error bounds for kernel density estimator of spectral distribution for Gaussian Unitary Ensembles

Hui Jiang and Shaochen Wang

Statistics & Probability Letters, 2017, vol. 126, issue C, 179-184

Abstract: In this short note, we study the error bounds for kernel density estimator of spectral distribution for Gaussian unitary ensembles. A deviation inequality and L1 error bound for the kernel estimator have been obtained. Our approach is based on an abstract deviation inequality for linear spectrum statistics of determinantal points fields.

Keywords: Kernel density estimator; Gaussian unitary ensembles; Deviation inequality; L1 error bound (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2017.03.014

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