Master of Science (MS)
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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.
Bonus games; Compound distributions; Discrete probability; Gambling; Hypergeometric distribution; Hypergeometric functions; Mixture distributions (Probability theory); Slot machines; Urn models; Wheel of Fortune
Applied Mathematics | Probability | Statistics and Probability
Jones, Steven Norman, "A Gaming Application of the Negative Hypergeometric Distribution" (2013). UNLV Theses, Dissertations, Professional Papers, and Capstones. 1846.