Date of Award
2016
Degree Type
Thesis
Degree Name
Honors Thesis
Department
Mathematics
First Advisor
Bill Johnston
Abstract
This thesis displays a sample distribution, generated from both a simulation (for large n) by computer program and explicitly calculated (for smaller n), that is not governed by the Central Limit Theorem and, in fact seems to display chaotic behavior. To our knowledge, the explicit calculation of the sample distribution function is new. This project outlines the results that have found a relation to number theory in a probabilistic game that has perplexed mathematicians for hundreds of years.
Recommended Citation
Olivero, Alexander, "A Computational And Theoretical Exploration of the St. Petersburg Paradox" (2016). Undergraduate Honors Thesis Collection. 317.
https://digitalcommons.butler.edu/ugtheses/317