Effective notions of weak convergence of measures on the real line

被引：1
|
作者：
McNicholl, Timothy H. [1 ]
Rojas, Diego A. [1 ,2 ]
机构：
[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA
[2] Univ Dallas, Dept Math, Irving, TX 75062 USA
来源：
INFORMATION AND COMPUTATION | 2023年 / 290卷
关键词：
RANDOMNESS;
D O I：
10.1016/j.ic.2022.104997
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We establish a framework for the study of the effective theory of weak convergence of measures. We define two effective notions of weak convergence of measures on R: one uniform and one non-uniform. We show that these notions are equivalent. By means of this equivalence, we prove an effective version of the Portmanteau Theorem, which consists of multiple equivalent definitions of weak convergence of measures.(c) 2022 Elsevier Inc. All rights reserved.
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页数：11
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