On the Baum–Katz theorem for sequences of pairwise independent random variables with regularly varying normalizing constants
نویسندگان
چکیده
This paper proves the Baum–Katz theorem for sequences of pairwise independent identically distributed random variables with general norming constants under optimal moment conditions. The proof exploits some properties slowly varying functions and de Bruijn conjugates, uses techniques developed by Rio (1995) to avoid using maximal type inequalities.
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2021
ISSN: ['1631-073X', '1778-3569']
DOI: https://doi.org/10.5802/crmath.139