Open Access

Erratum to: General Bahr-Esseen inequalities and their applications

Journal of Inequalities and Applications20172017:230

https://doi.org/10.1186/s13660-017-1514-9

Received: 24 August 2017

Accepted: 24 August 2017

Published: 20 September 2017

The original article was published in Journal of Inequalities and Applications 2017 2017:191

1 Erratum

In the publication of this article [1], there were two errors.
  1. 1)
    The error in Section 2.3 Exponential inequalities and their consequences:
    • \({}^{(a)}{}X^{(b)} = -a \mathbb{I}\{X< a \} + X \mathbb{I}\bigl\{a\le \vert X \vert \le b \bigr\} + b \mathbb{I}\{X> b \}\).’ Should instead read:

    • \({}^{(a)}{}X^{(b)} = a \mathbb{I}\{X< a \} + X \mathbb{I}\bigl\{a\le X \le b \bigr\} + b \mathbb{I}\{X> b \}\).’

     
  2. 2)

    The error in Section 2.4 Convergence theorems: ‘A well-known WLLN for pairwise independent r.v.s is the result of Csörgő, Tandori, and Totik [6].’ Should instead read: ‘A well-known SLLN for pairwise independent r.v.s is the result of Csörgő, Tandori, and Totik [6].’

     
This has now been updated in the original article [1].

Notes

Declarations

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors’ Affiliations

(1)
Faculty of Informatics, University of Debrecen

References

  1. Fazekas, I, Pecsora, S: General Bahr-Esseen inequalities and their applications. J. Inequal. Appl. 2017, 191 (2017). doi:10.1186/s13660-017-1468-y MathSciNetView ArticleMATHGoogle Scholar

Copyright

© The Author(s) 2017