Some vector-valued examples of noncentral moderate deviation results

Claudio Macci; Barbara Pacchiarotti

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arXiv · 2512.15527

Some vector-valued examples of noncentral moderate deviation results

Claudio Macci·Barbara Pacchiarotti

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Abstract

The term noncentral moderate deviations is used in the literature to mean a class of large deviation principles that, in some sense, fills the gap between the convergence in probability to a constant (governed by a reference large deviation principle) and a weak convergence to a non-Gaussian (and non-degenerating) distribution. Several examples can be found in the literature, mainly for real-valued random variables (see, e.g.,~\cite{GiulianoMacci} and the references cited therein). In this paper we present some examples with vector-valued random variables.

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Claudio Macci, Barbara Pacchiarotti. 2025-12-17. Some vector-valued examples of noncentral moderate deviation results. https://arxiv.org/abs/2512.15527

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