Date of Award

8-2017

Degree Type

Thesis

Degree Name

Master of Science - Statistics

Department

Mathematics and Statistics

First Advisor

Dr. Gregory K. Miller

Second Advisor

Dr. Keith E. Hubbard

Third Advisor

Dr. Kent E. Riggs

Fourth Advisor

Dr. Chrissy J. Cross

Abstract

This thesis will explore the hypergeometric probability distribution by looking at many different aspects of the distribution. These include, and are not limited to: history and origin, derivation and elementary applications, properties, relationships to other probability models, kindred hypergeometric distributions and elements of statistical inference associated with the hypergeometric distribution. Once the above are established, an investigation into and furthering of work done by Walton (1986) and Charlambides (2005) will be done. Here, we apply the hypergeometric distribution to sequential sampling in order to determine a surviving subcategory as well as study the problem of and complete representation of the subcategories within the population.

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Creative Commons License
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