L r convergence for arrays of rowwise m -extended negatively dependent random variables

• DOI: 10.1080/03610926.2023.2263600
• Publication Date: 2023-10-09T15:03:11Z
• Authors: Zi-jian Wang; Yi Wu; Yue Du; Xue-jun Wang
• Keywords: Mathematics Subject Classification

AbstractIn this article, the Marcinkiewicz-Zygmund-type moment inequality and Rosenthal-type for m-extended negatively dependent (m-END, short) random variables are established. As applications of inequality, we further investigate Lr convergence properties arrays rowrise m-END variables. Some sufficient conditions provided. Finally, some simulations presented to verify validity theoretical results. The results obtained in article generalize known ones independent variables.Keywords: variablesLr convergencemoment inequalityMathematical Subject Classification:: 60F15 Disclosure statementNo potential conflict interest was reported by authors.Additional informationFunding Supported National Natural Science Foundation China (12201079), Anhui Province (2108085MA06, 2108085QA15), Students Innovative Training Project University (X202210357005).