Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
5-2019
Committee Chair or Co-Chairs
Anant Godbole
Committee Members
JeanMarie Hendrickson, Christina Lewis, Robert Price Jr.
Abstract
The arcsine distribution looks at the fraction of time one player is winning in a fair coin toss game and has been studied for over a hundred years. There has been little further work on how the distribution changes when the coin tosses are not fair or when a player has already won the initial coin tosses or, equivalently, starts with a lead. This thesis will first cover a proof of the arcsine distribution. Then, we explore how the distribution changes when the coin the is unfair. Finally, we will explore the distribution when one person has won the first few flips.
Document Type
Thesis - unrestricted
Recommended Citation
Rasnick, Rebecca, "Generalizations of the Arcsine Distribution" (2019). Electronic Theses and Dissertations. Paper 3565. https://dc.etsu.edu/etd/3565
Copyright
Copyright by the authors.
Included in
Discrete Mathematics and Combinatorics Commons, Probability Commons, Statistical Theory Commons