English

A conditional limit theorem for independent random variables

Statistics Theory 2020-11-12 v3 Statistics Theory

Abstract

In this paper, we prove a conditional limit theorem for independent not necessarily identically distributed random variables. Namely, we obtain the asymptotic distribution of a large number of them given the sum.

Keywords

Cite

@article{arxiv.1811.07301,
  title  = {A conditional limit theorem for independent random variables},
  author = {Dimbihery Rabenoro},
  journal= {arXiv preprint arXiv:1811.07301},
  year   = {2020}
}
R2 v1 2026-06-23T05:19:27.099Z