ON THE RATE OF CONVERGENCE IN THE STRONG LAW OF LARGE NUMBERS FOR NONNEGATIVE RANDOM VARIABLES

V. M. Korchevsky

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ON THE RATE OF CONVERGENCE IN THE STRONG LAW OF LARGE NUMBERS FOR NONNEGATIVE RANDOM VARIABLES

机译：非负随机变量的大数强定律的收敛速度

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摘要

The rate of convergence in the strong law of large numbers for sequences of nonnegative random variables is studied without the independence assumption. Conditions for which an analog of the Baum–Katz theorem holds are obtained.

机译：在没有独立性假设的情况下，研究了非负随机变量序列在大数定律中的收敛速度。获得了Baum–Katz定理的一个类似物成立的条件。

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《Journal of Mathematical Sciences》 |2018年第6期|719-726|共8页
作者
V. M. Korchevsky;
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Saint-Petersburg State University of Aerospace Instrumentation;

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ON THE RATE OF CONVERGENCE IN THE STRONG LAW OF LARGE NUMBERS FOR NONNEGATIVE RANDOM VARIABLES

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