General Bahr-Esseen inequalities and their applications.

We study the Bahr-Esseen inequality. We show that the Bahr-Esseen inequality holds with exponent 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.

Erratum to: General Bahr-Esseen inequalities and their applications.

[This corrects the article DOI: 10.1186/s13660-017-1468-y.].