Generalizations of Borel-Cantelli Lemma

نویسندگان

Khajehhassani, Maryam

Khosravi, Mohsen Shahid Bahonar University of Kerman

چکیده مقاله:

The Borel-Cantelli Lemma is very important in the probability theory‎. ‎In this paper‎, ‎we first describe the general case of the Borel-Cantelli Lemma‎. ‎The first part of this lemma‎, ‎assuming convergence and the second part includes divergence and independence assumptions‎. ‎In the following‎, ‎we have brought generalizations of the first and second part of this lemma‎. ‎In most generalizations of part $amalg$‎, ‎the condition of independence‎, ‎pairwise independence‎, ‎weakening and elimination of the condition of independence have been investigated‎.

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