论文标题
在IID Bernoulli序列中最长连续开关的限制行为
Limiting behaviors for longest consecutive switches in an IID Bernoulli sequence
论文作者
论文摘要
在本文中,我们主要讨论了IID Bernoulli序列中最长连续开关的长度的尖锐下限和上边界。 这项工作是最长的Head-Run和Hao等人的ErdőS和Révész(1975)的结果的扩展。 (2021)对于无偏的硬币连续切换,可以应用于可靠性理论,生物学,质量控制,模式识别,财务等。
In this paper we mainly discuss sharp lower and upper bounds for the length of longest consecutive switches in IID Bernoulli sequences. This work is an extension of results in Erdős and Révész (1975) for longest head-run and Hao et al. (2021) for longest consecutive switches in unbiased coin-tossing, and might be applied to reliability theory, biology, quality control, pattern recognition, finance, etc.