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最长连续切换的长度

郝晨旭 胡泽春 马婷

四川大学学报(自然科学版)2021,Vol.58Issue(2):13-21,9.
四川大学学报(自然科学版)2021,Vol.58Issue(2):13-21,9.DOI:10.19907/j.0490-6756.2021.021002

最长连续切换的长度

On the length of the longest consecutive switches

郝晨旭 1胡泽春 1马婷1

作者信息

  • 1. 四川大学数学学院,成都610064
  • 折叠

摘要

Abstract

As a class of simple mathematical models ,tossing an unbiased coin independently has exten-sive applications in many fields . The length of the longest head-run has been long explored by many scholars .Up to now ,there is still a lot of results on the ex tension of this problem and their applica-tions .In this paper ,we study the leng th of the longest consecutive switches and present several limit theorems .

关键词

最长连续头部/最长连续切换/极限定理/Borel-Cantelli引理

Key words

Longest head-run/Longest consecutive switches/Limit theorem/Borel-Cantelli lemma

分类

数理科学

引用本文复制引用

郝晨旭,胡泽春,马婷..最长连续切换的长度[J].四川大学学报(自然科学版),2021,58(2):13-21,9.

基金项目

国家自然科学基金(11771309,11871184) (11771309,11871184)

四川大学学报(自然科学版)

OA北大核心CSCDCSTPCD

0490-6756

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