General Bahr-Esseen inequalities and their applications
István Fazekas, Sándor Pecsora
Journal of Inequalities and Applications · 2017
doi:10.1186/s13660-017-1468-y (opens in a new tab)
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Abstract
Abstract We study the Bahr-Esseen inequality. We show that the Bahr-Esseen inequality holds with exponent p if it holds with exponent q > p $q>p$ 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.
Abstract licence: CC BY-NC-ND
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