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Moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields

UDC 519.21 We obtain the moment inequality by considering the central limit theorem for the sums of linearly positive quadrant dependent random fields when the covariance satisfies certain conditions. Applying this moment inequality, we prove the invariance principle.

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Bibliographic Details
Date:	2025
Main Author:	Mukhamedov, Abdurakhman
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2025
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8385
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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