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.
Authors
- Abdurakhman Mukhamedov
Institutions
- National University of Uzbekistan (UZ)
Publication Details
- Journal
- Ukrains’kyi Matematychnyi Zhurnal
- Published
- 2025-05-08
- DOI
- https://doi.org/10.3842/umzh.v77i3.8385
- Primary Topic
- Probability and Risk Models
- Type
- article
- Field-Weighted Citation Impact
- 0.00