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On the length of the longest consecutive switches

Probability 2018-12-24 v2

Abstract

An unbiased coin is tossed nn times independently and sequentially. In this paper, we will study the length of the longest consecutive switches, and prove that the limit behaviors are similar to that of the length of the longest head-run.

Keywords

Cite

@article{arxiv.1811.04541,
  title  = {On the length of the longest consecutive switches},
  author = {Chen-Xu Hao and Ze-Chun Hu and Ting Ma},
  journal= {arXiv preprint arXiv:1811.04541},
  year   = {2018}
}

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19 pages