Some examples of noncentral moderate deviations for sequences of real random variables

Author:

Giuliano RitaORCID,Macci ClaudioORCID

Abstract

The term moderate deviations is often used in the literature to mean a class of large deviation principles that, in some sense, fills 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, some examples of classes of large deviation principles of this kind are presented, but the involved random variables converge weakly to Gumbel, exponential and Laplace distributions.

Publisher

VTeX

Subject

Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability

Reference18 articles.

1. Non-central moderate deviations for compound fractional Poisson processes;Stat. Probab. Lett.,2022

2. Regular Variation

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4. Stochastic comparisons and dynamic information of random lifetimes in a replacement model;Mathematics,2018

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1. Asymptotic results for sums and extremes;Journal of Applied Probability;2024-03-13

2. Noncentral moderate deviations for fractional Skellam processes;Modern Stochastics: Theory and Applications;2023-12-05

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