Some examples of non-central moderate deviations for sequences of real random variables

Rita Giuliano; Claudio Macci

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arXiv · 2110.05859

Some examples of non-central moderate deviations for sequences of real random variables

Rita Giuliano·Claudio Macci

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Abstract

The term \emph{moderate deviations} is often used in the literature to mean a class of large deviation principles that, in some sense, fill the gap between a convergence in probability to zero (governed by a large deviation principle) and a weak convergence to a centered Normal distribution. In this paper we present some examples of classes of large deviation principles of this kind, but the involved random variables converge weakly to Gumbel, exponential and Laplace distributions.

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Rita Giuliano, Claudio Macci. 2021-10-12. Some examples of non-central moderate deviations for sequences of real random variables. https://arxiv.org/abs/2110.05859

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