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. DOI: 10.3969/j.issn.1001-4268.2022.01.008
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. 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. DOI: 10.3969/j.issn.1001-4268.2022.01.008
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. DOI: 10.3969/j.issn.1001-4268.2022.01.008
Complete Convergence for NSD Random Variable Sequences
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.