Some Gaussianity criteria for Khinchin families

Víctor J. Maciá

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arXiv · 2501.04375

Some Gaussianity criteria for Khinchin families

Víctor J. Maciá

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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.

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Víctor J. Maciá. 2025-01-08. Some Gaussianity criteria for Khinchin families. https://arxiv.org/abs/2501.04375

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