Almost sure central limit theorem without logarithmic sums
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We investigate possible rates of convergence in the almost sure central limit theorem for sums of independent random variables and martingales. Bibliography: 9 titles.
KeywordsCentral Limit Theorem Independent Random Variable Power Rate Summation Method Impossible Theorem
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- 1.V. V. Petrov, Sums of Independent Random Variables [in Russian], Nauka, Moscow (1972).Google Scholar
- 2.A. I. Martikainen, “The strong law of large numbers for ruled sums,” Vestnik Leningrad. Univ., No. 1, 56–65 (1977).Google Scholar
- 9.A. I. Martikainen, “On rate of convergence in almost sure central limit theorem,” Teor. Veroyatn. Mat. Statist., 66, 77–81 (2002).Google Scholar
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