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Asymptotic theory for multiple samples with flexible random membership

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  • Shin, Ha-Young

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 neither fixed nor iid. We propose a flexible framework that can handle different kinds of deterministic and random membership, and mixtures of both. We prove some asymptotic properties and apply the framework to the stratified sampling context.

Suggested Citation

  • Shin, Ha-Young, 2026. "Asymptotic theory for multiple samples with flexible random membership," Statistics & Probability Letters, Elsevier, vol. 238(C).
    • Handle: RePEc:eee:stapro:v:238:y:2026:i:c:s016771522600218x
    DOI: 10.1016/j.spl.2026.110854
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