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

Year: 2025

Type: article

Abstract: 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.

Source: Ukrains’kyi Matematychnyi Zhurnal

DOI: 10.3842/umzh.v77i3.8385

Author: Abdurakhman Mukhamedov

Institution: National University of Uzbekistan

Language: English

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410191185

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