Non-asymptotic bounds for inclusion probabilities in rejective sampling
Probability
2022-12-20 v1 Statistics Theory
Statistics Theory
Abstract
We provide non-asymptotic bounds for first and higher order inclusion probabilities of the rejective sampling model with various size parameters. Further we derive bounds in the semi-definite ordering for matrices that collect (conditional) first and second order inclusion probabilities as their diagonal resp. off-diagonal entries.
Cite
@article{arxiv.2212.09391,
title = {Non-asymptotic bounds for inclusion probabilities in rejective sampling},
author = {Simon Ruetz and Karin Schnass},
journal= {arXiv preprint arXiv:2212.09391},
year = {2022}
}