In this paper, the complete qth moment convergence for weighted sums of sequences of negatively orthant dependent random variables is investigated. By applying moment inequality and truncation methods, the equivalent conditions of complete qth moment convergence for weighted sums of sequences of negatively orthant dependent random variables are established. These results not only extend the corresponding results obtained by Li and Sp\v{a}taru\ucite{4}, Liang et al.\ucite{5}, Guo\ucite{6} and Gut\ucite{21} to sequences of negatively orthant dependent random variables, but also improve them.
The research was supported by the National Natural Science Foundation of China (Grant No. 11271020), the Natural Science Foundation for Colleges and Universities in Anhui Province (Grant No. KJ2014A083), the Anhui Provincial Natural Science Foundation (Grant No. 1508085MA11).
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GUO Mingle; SHAN Siwei. Equivalent Conditions of Complete qth Moment Convergence for Weighted Sums of Sequences of Negatively Orthant Dependent Random Variables. CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST, 2020, 36(4): 381-392.
