Weak convergence theory for Poisson sampling designs

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.

This article is an updated version of arXiv:1902.09169v1 [math.ST] and of arXiv:1902.09169v2 [math.ST]

Cited by in corpus (1)

• Functional central limit theorems for conditional Poisson sampling