NSD随机变量序列的完全收敛性

付宗魁; 费丹丹; 张聪; 孙莉敏

doi:10.3969/j.issn.1001-4268.2022.01.008

付宗魁, 费丹丹, 张聪, 孙莉敏. NSD随机变量序列的完全收敛性[J]. 应用概率统计, 2022, 38(1): 111-122. DOI: 10.3969/j.issn.1001-4268.2022.01.008

引用本文:

付宗魁, 费丹丹, 张聪, 孙莉敏. NSD随机变量序列的完全收敛性[J]. 应用概率统计, 2022, 38(1): 111-122. DOI: 10.3969/j.issn.1001-4268.2022.01.008

FU Zongkui, FEI Dandan, ZHANG Cong, SUN Limin, . Complete Convergence for NSD Random Variable Sequences[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(1): 111-122.

Citation:

FU Zongkui, FEI Dandan, ZHANG Cong, SUN Limin, . Complete Convergence for NSD Random Variable Sequences[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(1): 111-122.

NSD随机变量序列的完全收敛性

Complete Convergence for NSD Random Variable Sequences

摘要

摘要: 本文利用NSD随机变量序列的性质、矩不等式及三级数定理,在一定的矩条件下, 得到了~NSD~随机变量序列的完全收敛性.所得结果推广了Chow与Lai15,16与Jajte17的独立序列的结果.

Abstract: In this paper, using the property of NSD random variable sequence, moment inequality and three series theorem, we obtain complete convergence for NSD random variables sequences under certain moment conditions. The results generalize the results of independent sequences for Chow and Lai\ucite15,16 and Jajte\ucite17.

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