The Distribution Function of the Longest Head Run
Statistics Theory
2020-07-22 v3 Probability
Statistics Theory
Abstract
In this paper, the open problem of finding a closed analytical expression for the distribution function of the length of the longest pure head run in coin tosses of a possibly biased coin is solved by studying the closely related Markov chain of current head runs.
Cite
@article{arxiv.2007.06735,
title = {The Distribution Function of the Longest Head Run},
author = {Dennis Koh},
journal= {arXiv preprint arXiv:2007.06735},
year = {2020}
}
Comments
Due to an error in Theorem 4.3 on page 4. The proof does not work