Weak convergence theory for Poisson sampling designs
Statistics Theory
2019-06-12 v3 Statistics Theory
Abstract
This work provides some general theorems about unconditional and conditional weak convergence of empirical processes in the case of Poisson sampling designs. The theorems presented in this work are stronger than previously published results. Their proofs are based on the symmetrization technique and on a contraction principle.
Cite
@article{arxiv.1902.09169,
title = {Weak convergence theory for Poisson sampling designs},
author = {Leo Pasquazzi},
journal= {arXiv preprint arXiv:1902.09169},
year = {2019}
}
Comments
This article is an updated version of arXiv:1902.09169v1 [math.ST] and of arXiv:1902.09169v2 [math.ST]