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On Convergence Rates in the Marcinkiewicz–Zygmund Strong Law of Large Numbers
Results in Mathematics ( IF 2.2 ) Pub Date : 2021-08-02 , DOI: 10.1007/s00025-021-01487-2 Fakhreddine Boukhari 1
中文翻译:
关于 Marcinkiewicz-Zygmund 强大数定律的收敛率
更新日期:2021-08-02
Results in Mathematics ( IF 2.2 ) Pub Date : 2021-08-02 , DOI: 10.1007/s00025-021-01487-2 Fakhreddine Boukhari 1
Affiliation
In 1967, Heyde and Rohatgi obtained two results on the rate of convergence in the Marcinkiewicz–Zygmund strong law of large numbers. In the present work, we show that the independence requirement in their theorems is unnecessary when the common law satisfies a suitable integrability condition.
中文翻译:
关于 Marcinkiewicz-Zygmund 强大数定律的收敛率
1967 年,Heyde 和 Rohatgi 在 Marcinkiewicz-Zygmund 强大数定律中得到了两个收敛率的结果。在目前的工作中,我们表明,当普通法满足合适的可积性条件时,它们定理中的独立性要求是不必要的。