Abstract
In this study, we consider the rate of uniform almost sure convergence ofthe empirical distribution function for simple random sampling withoutreplacement from a finite population. Utilizing Hoeffding’s inequalityfor simple random sampling without replacement, this study extendsthe classical Glivenko—Cantelli theorem for the empirical distributionfunction for samples from a finite population. Our numerical simulationresults are consistent with theoretical results
Original language | English |
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Pages (from-to) | 5924-5934 |
Number of pages | 11 |
Journal | Communications in Statistics: Theory and Methods |
Volume | 53 |
Issue number | 16 |
DOIs | |
Publication status | Published - 2023 |
Bibliographical note
Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-careOtherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.