双指标弱鞅的强大数定律
The Strong Law of Large Numbers for Two-Parameter Demimartingales
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摘要: 本文给出了双指标相协随机变量序列的矩不等式, 得到了其强大数定律, 同时给出了双指标弱鞅的Doob型概率不等式和Brunk-Prokhorov型强大数定律.Abstract: 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.