On the Convergence Rate for the Longest at Most <i>T</i>-Contaminated Runs of Heads

On the Convergence Rate for the Longest at Most <i>T</i>-Contaminated Runs of Heads

In this paper, we study the usual coin tossing experiment. We call a run at most <i>T</i>-contaminated, if it contains at most <i>T</i> tails. We approximate the distribution of the length of the longest at most <i>T</i>-contaminated runs. We offer a more precise...

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Bibliographic Details
Main Authors: István Fazekas, Borbála Fazekas, László Fórián
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Entropy
Subjects:
coin tossing
longest head run
asymptotic distribution
rate of convergence
Online Access:https://www.mdpi.com/1099-4300/27/1/33
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