冯德成, 贾瑞洁, 慕彩银. 双指标弱鞅的强大数定律[J]. 应用概率统计. DOI: 10.12460/j.issn.1001-4268.aps.2024.2021161
引用本文: 冯德成, 贾瑞洁, 慕彩银. 双指标弱鞅的强大数定律[J]. 应用概率统计. DOI: 10.12460/j.issn.1001-4268.aps.2024.2021161
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FENG Decheng, JIA Ruijie, MU Caiyin. The Strong Law of Large Numbers for Two-Parameter Demimartingales[J]. Chinese Journal of Applied Probability and Statistics. 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 Demimartingales[J]. Chinese Journal of Applied Probability and Statistics. DOI: 10.12460/j.issn.1001-4268.aps.2024.2021161
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双指标弱鞅的强大数定律

The Strong Law of Large Numbers for Two-Parameter Demimartingales

    摘要
  • 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.

     

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