满足广义罗森塔尔型不等式的随机变量加权和的完全收敛性*
IF 0.5
4区 数学
Q3 MATHEMATICS
引用次数: 0
摘要
在本文中，我们建立了满足广义罗森塔尔型不等式的随机变量加权和的完全收敛性。我们的结果部分扩展了一些已知结果，并削弱了它们的条件。在统计应用方面，我们研究了非参数回归模型，并获得了未知回归函数的加权回归估计器的完全一致性。本文章由计算机程序翻译，如有差异，请以英文原文为准。
Complete convergence for weighted sums of random variables satisfying generalized Rosenthal-type inequalities*
In the paper, we establish the complete convergence for weighted sums of random variables satisfying generalized Rosenthal-type inequalities. Our results partially extend some known results and weaken their conditions. As statistical applications, we study the nonparametric regression model and obtain the complete consistency of the weighted regression estimator for the unknown regression functions.
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
33
审稿时长
>12 weeks
期刊介绍：
The Lithuanian Mathematical Journal publishes high-quality original papers mainly in pure mathematics. This multidisciplinary quarterly provides mathematicians and researchers in other areas of science with a peer-reviewed forum for the exchange of vital ideas in the field of mathematics.
The scope of the journal includes but is not limited to:
Probability theory and statistics;
Differential equations (theory and numerical methods);
Number theory;
Financial and actuarial mathematics, econometrics.
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