FENG Decheng, JIA Ruijie, MU Caiyin. The Strong Law of Large Numbers for Two-Parameter DemimartingalesJ. Chinese Journal of Applied Probability and Statistics, 2024, 40(5): 697-709. DOI: 10.12460/j.issn.1001-4268.aps.2024.2021161
Citation:
FENG Decheng, JIA Ruijie, MU Caiyin. The Strong Law of Large Numbers for Two-Parameter DemimartingalesJ. Chinese Journal of Applied Probability and Statistics, 2024, 40(5): 697-709. DOI: 10.12460/j.issn.1001-4268.aps.2024.2021161
FENG Decheng, JIA Ruijie, MU Caiyin. The Strong Law of Large Numbers for Two-Parameter DemimartingalesJ. Chinese Journal of Applied Probability and Statistics, 2024, 40(5): 697-709. DOI: 10.12460/j.issn.1001-4268.aps.2024.2021161
Citation:
FENG Decheng, JIA Ruijie, MU Caiyin. The Strong Law of Large Numbers for Two-Parameter DemimartingalesJ. Chinese Journal of Applied Probability and Statistics, 2024, 40(5): 697-709. DOI: 10.12460/j.issn.1001-4268.aps.2024.2021161
The Strong Law of Large Numbers for Two-Parameter Demimartingales
In this paper, we give a moment inequality for two-parameter associated random variables and obtain the strong law of large numbers for that. At the same time, we give a Doob's probability inequality and the Brunk-Prokhorov strong law of large numbers for two-parameter demimartingales.