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Erratum to: General Bahr-Esseen inequalities and their applications

The Original Article was published on 18 August 2017

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].

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

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Correspondence to István Fazekas.

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The online version of the original article can be found under doi:10.1186/s13660-017-1468-y.

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Fazekas, I., Pecsora, S. Erratum to: General Bahr-Esseen inequalities and their applications. J Inequal Appl 2017, 230 (2017). https://doi.org/10.1186/s13660-017-1514-9

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