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

Authors

  • Abdurakhman Mukhamedov Faculty of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan

DOI:

https://doi.org/10.3842/umzh.v77i3.8385

Keywords:

moment inequality, central limit theorem, linearly positive quadrant dependent random fields, invariance principle.

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.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 3, 2025.

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Published

07.11.2025

Issue

Vol. 77 No. 3 (2025)

Section

Research articles

License

Copyright (c) 2025 Abdurakhman Mukhamedov

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Mukhamedov, Abdurakhman. “Moment Inequality, Central Limit Theorem, and the Invariance Principle for Linearly Positive Quadrant Dependent Random Fields”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 3, Nov. 2025, p. 234, https://doi.org/10.3842/umzh.v77i3.8385.