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LIN Zhengyan, . ON A QUESTION ABOUT THE INCREMENTS OF SUMS OF RANDOM VARIABLES[J]. Chinese Journal of Applied Probability and Statistics, 1986, 2(2): 149-152.
Citation: LIN Zhengyan, . ON A QUESTION ABOUT THE INCREMENTS OF SUMS OF RANDOM VARIABLES[J]. Chinese Journal of Applied Probability and Statistics, 1986, 2(2): 149-152.
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ON A QUESTION ABOUT THE INCREMENTS OF SUMS OF RANDOM VARIABLES

  • Hangzhou University

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  • Received Date: March 11, 1985
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  • We try to answer a question about the increments of sums of i.i.d,random variables,raised by Hanson and Russo,as condition（5.3b）:αn/logn→∞ in their paper.Can this condition be relaxed if more is assumed about the tails of the distributions of the random variables?We also consider relaxation of their condition（5.7）:（logαn）/n→0,The results are similar to the well-known Erdös-Rényi’s new law of large numbers.
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