Limiting Behaviors for Longest Consecutive Switches in anⅡD Bernoulli Sequence  

作　　者：Chen Xu HAO Ting MA 

机构地区：[1]College of Mathematics,Sichuan University,Chengdu 610065,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第6期1138-1146,共9页数学学报（英文版）

基　　金：Supported by the National National Science Foundation of China(Grant Nos.12101429,12171335);the Science Development Project of Sichuan University(Grant No.2020SCUNL201);the Fundamental Research Funds for the Central Universities of China。

摘　　要：In this paper we mainly discuss lower and upper bounds for the length of longest consecutive switches inⅡD Bernoulli sequences.This work is an extension of results for longest consecutive switches in unbiased coin-tossing,and might be applied to reliability theory,biology,quality control,pattern recognition,finance,etc.

关 键 词：Longest consecutive switches lower and upper bounds Borel-Cantelli lemma 

分 类 号：O211.4[理学—概率论与数理统计]