A large deviation principle for a class of weighted means of random variables which converges weakly to the Dickman distribution

Rita Giuliano; Claudio Macci

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arXiv · 2608.05039

A large deviation principle for a class of weighted means of random variables which converges weakly to the Dickman distribution

Rita Giuliano·Claudio Macci

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Abstract

In this paper we consider a wide class of weighted means of random variables which converge weakly to the Dickman distribution. This is inspired by a result proved in [3]. Then we prove a large deviation principle for the sequence of these weighted means. In particular we recover a result proved in [8]. Moreover the generalized framework of this paper allows to consider suitable Neyman Type A distributed random variables.

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Rita Giuliano, Claudio Macci. 2026-08-05. A large deviation principle for a class of weighted means of random variables which converges weakly to the Dickman distribution. https://arxiv.org/abs/2608.05039

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