Asymptotic theory for multiple samples with random membership
Statistics Theory
2026-03-02 v1 Statistics Theory
Abstract
A statistic can be a function of multiple samples. There is little existing work on asymptotic theory for such statistics when group membership is random. We propose a flexible framework that can handle both deterministic and random membership. We prove some asymptotic properties and apply the framework to the stratified sampling context.
Cite
@article{arxiv.2602.24219,
title = {Asymptotic theory for multiple samples with random membership},
author = {Ha-Young Shin},
journal= {arXiv preprint arXiv:2602.24219},
year = {2026}
}
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12 pages