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

• Datum: 2025
• 1. Verfasser: Mukhamedov, Abdurakhman
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2025
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8385
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.