Limit theorems for sums of random variables with mixture distribution
Probability
2017-03-31 v1
Abstract
In this paper, we study the fluctuations of sums of random variables with distribution defined as a mixture of light-tail and truncated heavy-tail distributions. We focus on the case when both the mixing coefficient and the truncation level depend on the number of summands. The aim of this research is to characterize the limiting distributions of the sums due to various relations between these parameters.
Cite
@article{arxiv.1703.10463,
title = {Limit theorems for sums of random variables with mixture distribution},
author = {Vladimir Panov},
journal= {arXiv preprint arXiv:1703.10463},
year = {2017}
}
Comments
12 pages