关于m-值随机序列广义随机选择的一个强极限定理

数学季刊 ›› 2003, Vol. 18 ›› Issue (4): 343-348.

关于m-值随机序列广义随机选择的一个强极限定理

1．Department of Mathematics and Physics ,A nhui University of Technology ,Ma ’anshan 243002,China； 2．Department of Mathematics ,Tangshan Teacher ’s College ,Tangshan 063000,China

收稿日期:2001-09-10 出版日期:2003-12-30 发布日期:2024-03-29
作者简介:WANG Zhong-zhi（1965－）,male ,native of Anqing ,Anhui ,an associate professor of Anhui University of Technology ,M．S．D．,engages in limit theory in probability and its application；XU Fu-xia（1966－）,female ,native of Jize , Hebei ,an associate professor of Tangshan Teache r ’s College ,M．S．D．,engages in limit theory in probability .
基金资助:
SupportedbytheEducationDepartmentofAnhuiProvince( 2 0 0 2kj0 5 4)；

A Strong Limit Theorem on Generalized Random Selection for m-valued Random Sequences

1．Department of Mathematics and Physics ,A nhui University of Technology ,Ma ’anshan 243002,China； 2．Department of Mathematics ,Tangshan Teacher ’s College ,Tangshan 063000,China

Received:2001-09-10 Online:2003-12-30 Published:2024-03-29
About author:WANG Zhong-zhi（1965－）,male ,native of Anqing ,Anhui ,an associate professor of Anhui University of Technology ,M．S．D．,engages in limit theory in probability and its application；XU Fu-xia（1966－）,female ,native of Jize , Hebei ,an associate professor of Tangshan Teache r ’s College ,M．S．D．,engages in limit theory in probability .
Supported by:
SupportedbytheEducationDepartmentofAnhuiProvince( 2 0 0 2kj0 5 4)；

摘要/Abstract

摘要： In this paper ,a strong limit theorem on gambling strategy for binary Bernoulli sequence ,i．e . irregularity theorem ,is extended to random selection for dependent m -valued random variables ,via us- ing a new method-differentiability on net．Furthermore ,by allowing the selection function to take value in finite interval［－ M ,M］,the conception of random selection is generalized .

关键词: ：generalized random selection, differentiability on net, a．e．convergence

Abstract: In this paper ,a strong limit theorem on gambling strategy for binary Bernoulli sequence ,i．e . irregularity theorem ,is extended to random selection for dependent m -valued random variables ,via us- ing a new method-differentiability on net．Furthermore ,by allowing the selection function to take value in finite interval［－ M ,M］,the conception of random selection is generalized .

Key words: ：generalized random selection, differentiability on net, a．e．convergence

中图分类号:

O211.4

汪忠志, 徐付霞. 关于m-值随机序列广义随机选择的一个强极限定理[J]. 数学季刊, 2003, 18(4): 343-348.

WANG Zhong-zhi , XU Fu-xia. A Strong Limit Theorem on Generalized Random Selection for m-valued Random Sequences [J]. Chinese Quarterly Journal of Mathematics, 2003, 18(4): 343-348.