On the Móri-Székely conjectures for the Borel-Cantelli lemma

Author:

Feng Chunrong1,Li Liangpan1

Affiliation:

1. 1 Loughborough University Department of Mathematical Sciences Loughborough LE11 3TU UK

Abstract

The purpose of this note is to show by constructing counterexamples that two conjectures of Móri and Székely for the Borel-Cantelli lemma are false.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Reference19 articles.

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3. On Cantor’s series with convergent Σ1/qn;Erdős P.;Ann. Univ. Sci. Budapest. Eötvös Sect. Math.,1959

4. A bound for the maximum of a number of random variables;Gallot S.;J. Appl. Prob.,1966

5. Bounds for the probability of a union, with applications;Kounias E. G.;Ann. Math. Statist.,1968

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