Some Gaussianity criteria for Khinchin families
Probability
2025-01-17 v2 Complex Variables
Abstract
In this note we establish simple and verifiable analytical conditions for a power series f in the class K, and its associated Khinchin family, to be Gaussian. We give several moment criteria for general power series with non-negative coefficients in K and also provide several applications of these criteria.
Cite
@article{arxiv.2501.04375,
title = {Some Gaussianity criteria for Khinchin families},
author = {Víctor J. Maciá},
journal= {arXiv preprint arXiv:2501.04375},
year = {2025}
}
Comments
Preliminary version - minor corrections