Translations in the exponential Orlicz space with Gaussian weight
Giovanni Pistone
TL;DR
This paper investigates how translations affect functions within exponential families characterized by exponential Orlicz spaces with Gaussian weights, focusing on their continuity properties.
Contribution
It provides new insights into the continuity of space translations in exponential Orlicz spaces with Gaussian reference density, a topic not extensively explored before.
Findings
Established conditions for translation continuity in these spaces
Extended understanding of non-parametric exponential families
Potential applications in statistical theory and analysis
Abstract
We study the continuity of space translations on non-parametric exponential families based on the exponential Orlicz space with Gaussian reference density.
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