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Full-Text Articles in Statistics and Probability
Teaching A University Course On The Mathematics Of Gambling, Stewart N. Ethier, Fred M. Hoppe
Teaching A University Course On The Mathematics Of Gambling, Stewart N. Ethier, Fred M. Hoppe
UNLV Gaming Research & Review Journal
Courses on the mathematics of gambling have been offered by a number of colleges and universities, and for a number of reasons. In the past 15 years, at least seven potential textbooks for such a course have been published. In this article we objectively compare these books for their probability content, their gambling content, and their mathematical level, to see which ones might be most suitable, depending on student interests and abilities. This is not a book review (e.g., none of the books is recommended over others) but rather an essay offering advice about which topics to include in a …
A Gaming Application Of The Negative Hypergeometric Distribution, Steven Norman Jones
A Gaming Application Of The Negative Hypergeometric Distribution, Steven Norman Jones
UNLV Theses, Dissertations, Professional Papers, and Capstones
The Negative Hypergeometric distribution represents waiting times when drawing from a finite sample without replacement. It is analogous to the negative binomial, which models the distribution of waiting times when drawing with replacement. Even though the Negative Hypergeometric has applications it is typically omitted from textbooks on probability and statistics and is not generally known. The main purpose of this thesis is to derive expressions for the mean and variance of a new application of the Negative Hypergeometric to gaming and gambling. Other applications are described as well.