Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

8-2008

Committee Chair or Co-Chairs

Robert M. Price Jr.

Committee Members

Yali Liu, Robert B. Gardner, Edith Seier

Abstract

Percentiles are used everyday in descriptive statistics and data analysis. In real life, many quantities are normally distributed and normal percentiles are often used to describe those quantities. In life sciences, distributions like exponential, uniform, Weibull and many others are used to model rates, claims, pensions etc. The need to compare two or more independent populations can arise in data analysis. The ratio of percentiles is just one of the many ways of comparing populations. This thesis constructs a large sample confidence interval for the ratio of percentiles whose underlying distributions are known. A simulation study is conducted to evaluate the coverage probability of the proposed interval method. The distributions that are considered in this thesis are the normal, uniform and exponential distributions.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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