2012/06/21 by Alexei Stepanov, Stepanov, Alexei
Mathematics · #FOS: Mathematics #Mathematical Dynamics and Fractals #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Probability (math.PR) #math.PR
paper · pdf · doi:10.48550/arxiv.1206.4799
arxiv created 2012/06/21 · openalex publication_date 2012/06/21 · arxiv updated 2012/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present paper, a generalization of the first part of the Borel-Cantelli lemma is obtained by the recent work of Balakrishnan and Stepanov (2010). This generalization is further applied to derive strong limit results for the sequence of maxima.