Some vector-valued examples of noncentral moderate deviation results
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908718372749312 |
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| author | Macci, Claudio Pacchiarotti, Barbara |
| author_facet | Macci, Claudio Pacchiarotti, Barbara |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15527 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some vector-valued examples of noncentral moderate deviation results Macci, Claudio Pacchiarotti, Barbara Probability 60F10, 60F05, 60G70 G.3 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. |
| title | Some vector-valued examples of noncentral moderate deviation results |
| topic | Probability 60F10, 60F05, 60G70 G.3 |
| url | https://arxiv.org/abs/2512.15527 |