Precise asymptotics of weighted sequences and their applications

被引:0
|
作者
B. J. Choi
U. C. Ji
D. Shin
机构
[1] Jeju National University,Department of Mathematics Education
[2] Chungbuk National University,Department of Mathematics, Institute for Industrial and Applied Mathematics
[3] Chungbuk National University,Department of Mathematics
来源
Acta Mathematica Hungarica | 2022年 / 167卷
关键词
precise asymptotics; convergence rate; noncommutative probability space; free random variable; 60F15; 46L53;
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中图分类号
学科分类号
摘要
We study an asymptotic property of weighted sequences of nonnegative functions which extends and unifies previous results concerned with precise asymptotics. As applications, we prove precise asymptotics for partial sums of independent identically distributed classical, noncommutative and free random variables.
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页码:161 / 179
页数:18
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