A Gaming Application of the Negative Hypergeometric Distribution

نویسندگان

  • Steven Norman Jones
  • Steven Jones
چکیده

A Gaming Application of the Negative Hypergeometric Distribution by Steven Jones Dr. Rohan Dalpatadu, Advisory Committee Chair Associate Professor of Mathematical Sciences University of Nevada, Las Vegas 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.

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تاریخ انتشار 2017