On a limit theorem for a non-linear scaling
Probability
2022-05-23 v4
Abstract
In this note, we proved that weak limits, of sums of independent positive identically distributed random variables which are re-normalized by a non-linear shrinking transform , are either degenerate or (some) compound Poisson distributions.
Cite
@article{arxiv.1906.10522,
title = {On a limit theorem for a non-linear scaling},
author = {Zbigniew J. Jurek},
journal= {arXiv preprint arXiv:1906.10522},
year = {2022}
}