一类独立和的加权大数定律

IF 0.4 4区数学 Q4 STATISTICS & PROBABILITY

Probability and Mathematical Statistics-Poland Pub Date : 2020-01-01 DOI:10.37190/0208-4147.41.1.5

A. Pakes

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引用次数: 0

摘要

本文得到了分布属于包含记录论f格式的一类正数值独立随机变量加权平均的弱大数律的一个充分必要条件。在这些附加的一般条件下，弱法可以扩展为具有相同规范的强法。示例表明，这些条件可以满足，如果不满足，则加权平均值显示出多个增长率。2020数学学科分类:小学60F05、60F15;二次60 e10。

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Weighted Laws of Large Numbers for a class of independent summands

This paper obtains a necessary and sufficient condition for a weak law of large numbers for weighted averages of positive-valued independent random variables whose distributions belong to a class which includes the F-scheme of record theory. Additional general conditions are found under which the weak law extends to a strong law with the same norming. Examples show these conditions can be fulfilled, and that if they are not, then the weighted averages exhibit multiple growth rates. 2020 Mathematics Subject Classification: Primary 60F05, 60F15; Secondary 60E10.

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来源期刊

Probability and Mathematical Statistics-Poland STATISTICS & PROBABILITY-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： PROBABILITY AND MATHEMATICAL STATISTICS is published by the Kazimierz Urbanik Center for Probability and Mathematical Statistics, and is sponsored jointly by the Faculty of Mathematics and Computer Science of University of Wrocław and the Faculty of Pure and Applied Mathematics of Wrocław University of Science and Technology. The purpose of the journal is to publish original contributions to the theory of probability and mathematical statistics.