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
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)