On Decoupling of Functions of Normal Vectors II
Pavel G. Grigoriev, Stanislav A. Molchanov
TL;DR
This paper establishes a decoupling inequality for sums of functions of Gaussian vectors, advancing the understanding of their probabilistic behavior.
Contribution
It introduces a new decoupling inequality specifically for functions of Gaussian vectors, extending previous results.
Findings
Decoupling inequality proven for Gaussian vector functions
Enhanced tools for analyzing Gaussian processes
Potential applications in probability theory and statistics
Abstract
A decoupling type inequality for a sum of functions of Guassian vectors is established.
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Taxonomy
TopicsMathematical Inequalities and Applications · Approximation Theory and Sequence Spaces · Advanced Banach Space Theory