General Bahr-Esseen inequalities and their applications
نویسندگان
چکیده
We study the Bahr-Esseen inequality. We show that the Bahr-Esseen inequality holds with exponent p if it holds with exponent [Formula: see text] for the truncated and centered random variables. The Bahr-Esseen inequality is also true if the truncated random variables are acceptable. We then apply the results to obtain weak and strong laws of large numbers and complete convergence.
منابع مشابه
Erratum to: General Bahr-Esseen inequalities and their applications
*Correspondence: [email protected] Faculty of Informatics, University of Debrecen, P.O. Box 400, Debrecen, 4002, Hungary 1 Erratum In the publication of this article [], there were two errors. ) The error in Section . Exponential inequalities and their consequences: ‘(a)X(b) = –aI{X < a} +XIa≤ |X| ≤ b + bI{X > b}.’ Should instead read: ‘(a)X(b) = aI{X < a} +XIa≤ X ≤ b + bI{X > b}...
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ورودعنوان ژورنال:
دوره 2017 شماره
صفحات -
تاریخ انتشار 2017