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math.ST2023
Co-variance Operator of Banach Valued Random Elements: U-Statistic Approach
Suprio Bhar, Subhra Sankar Dhar
This article proposes a co-variance operator for Banach valued random elements using the concept of -statistic. We then study the asymptotic distribution of the proposed co-vari…
math.ST2023
Testing Independence of Infinite Dimensional Random Elements: A Sup-norm Approach
Suprio Bhar, Subhra Sankar Dhar
In this article, we study the test for independence of two random elements and lying in an infinite dimensional space (specifically, a real separable Hilbert sp…