A transfer principle for deviations principles
Matthias L\"owe, Raphael Meiners
TL;DR
This paper introduces a transfer principle that allows deriving moderate deviations principles for certain random variables based on their Hubbard-Stratonovich transforms, simplifying the analysis of deviations.
Contribution
It presents a novel transfer principle connecting deviations principles of random variables with those of their Hubbard-Stratonovich transforms.
Findings
Enables derivation of deviations principles via Hubbard-Stratonovich transforms
Simplifies analysis of moderate deviations for complex variables
Provides a new theoretical tool for probability theory
Abstract
This note provides a tool to infer moderate deviations principles for specific random variables from deviations principles for their Hubbard-Stratonovich transforms.
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Taxonomy
TopicsLaw, Economics, and Judicial Systems · Legal and Constitutional Studies · Legal principles and applications