最长连续切换的长度

On the length of the longest consecutive switches

摘要:

作为一类简单的数学模型，均匀硬币的独立抛掷模型在诸多领域具有广泛的应用，关于其最长连续头部长度的研究长期吸引着学者们，时至今日仍有大量的研究致力于这个问题的推广及应用.本文研究最长连续切换的长度，给出几个极限定理.

Abstract:

As a class of simple mathematical models, the model of tossing an unbiased coin independently has extensive 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 extension of this problem and their applications. In this paper, we study the length of the longest consecutive switches and present several limit theorems.