A comparison of pivotal sampling and unequal probability sampling with replacement
Statistics Theory
2016-09-14 v2 Applications
Methodology
Statistics Theory
Abstract
We prove that any implementation of pivotal sampling is more efficient than multinomial sampling. This property entails the weak consistency of the Horvitz-Thompson estimator and the existence of a conservative variance estimator. A small simulation study supports our findings.
Cite
@article{arxiv.1609.02688,
title = {A comparison of pivotal sampling and unequal probability sampling with replacement},
author = {Guillaume Chauvet and Anne Ruiz-Gazen},
journal= {arXiv preprint arXiv:1609.02688},
year = {2016}
}