MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Michele Joyner, JeanMarie Hendrickson
What is the probability that in a fair coin toss game (a simple random walk) we go bankrupt in n steps when there is an initial lead of some known or unknown quantity $m? What is the distribution of the number of steps N that it takes for the lead to vanish? This thesis explores some of the features of this ﬁrst passage to the origin (FPO) distribution. First, we explore the distribution of N when m is known. Next, we compute the maximum likelihood estimators of m for a ﬁxed n and also the posterior distribution of m when we are given that m follows some known prior distribution.
Thesis - unrestricted
Soni, Aradhana, "An Analysis of the First Passage to the Origin (FPO) Distribution" (2020). Electronic Theses and Dissertations. Paper 3755. https://dc.etsu.edu/etd/3755
Copyright by the authors.