On the Borel-Cantelli Lemma and moments
Commentationes Mathematicae Universitatis Carolinae (2006)
- Volume: 47, Issue: 4, page 669-679
- ISSN: 0010-2628
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topAmghibech, S.. "On the Borel-Cantelli Lemma and moments." Commentationes Mathematicae Universitatis Carolinae 47.4 (2006): 669-679. <http://eudml.org/doc/249844>.
@article{Amghibech2006,
abstract = {We present some extensions of the Borel-Cantelli Lemma in terms of moments. Our result can be viewed as a new improvement to the Borel-Cantelli Lemma. Our proofs are based on the expansion of moments of some partial sums by using Stirling numbers. We also give a comment concerning the results of Petrov V.V., A generalization of the Borel-Cantelli Lemma, Statist. Probab. Lett. 67 (2004), no. 3, 233–239.},
author = {Amghibech, S.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Borel-Cantelli Lemma; Stirling numbers; Borel-Cantelli Lemma; Stirling numbers},
language = {eng},
number = {4},
pages = {669-679},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the Borel-Cantelli Lemma and moments},
url = {http://eudml.org/doc/249844},
volume = {47},
year = {2006},
}
TY - JOUR
AU - Amghibech, S.
TI - On the Borel-Cantelli Lemma and moments
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2006
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 47
IS - 4
SP - 669
EP - 679
AB - We present some extensions of the Borel-Cantelli Lemma in terms of moments. Our result can be viewed as a new improvement to the Borel-Cantelli Lemma. Our proofs are based on the expansion of moments of some partial sums by using Stirling numbers. We also give a comment concerning the results of Petrov V.V., A generalization of the Borel-Cantelli Lemma, Statist. Probab. Lett. 67 (2004), no. 3, 233–239.
LA - eng
KW - Borel-Cantelli Lemma; Stirling numbers; Borel-Cantelli Lemma; Stirling numbers
UR - http://eudml.org/doc/249844
ER -
References
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- Petrov V.V., A generalization of the Borel-Cantelli Lemma, Statist. Probab. Lett. 67 (2004), 3 233-239. (2004) Zbl1101.60300MR2053525
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