#### Publication Date

5-1-2002

#### Degree Program

Department of Mathematics and Computer Science

#### Degree Type

Master of Science

#### Abstract

In this thesis, the uniform convergence of two special standardized distributions are examined. The Gamma distribution is standardized, and then the probability density function of the standardized Gamma distribution is shown to converge uniformly to the probability density function of the normal distribution. The F-distribution is standardized, and then the probability density function of the standardized F-distribution is shown to converge uniformly to the probability density function of the normal distribution. Along the way, some other interesting limits are observed.

#### Disciplines

Mathematics

#### Recommended Citation

Lami, Marcia, "The Uniform Convergence of Special Standardized Distributions" (2002). *Masters Theses & Specialist Projects.* Paper 607.

http://digitalcommons.wku.edu/theses/607