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Mathematics

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Masters Theses & Specialist Projects

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2002

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The Fourier Transform And Some Applications, Christopher Zion Sep 2002

The Fourier Transform And Some Applications, Christopher Zion

Masters Theses & Specialist Projects

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The Uniform Convergence Of Special Standardized Distributions, Marcia Lami May 2002

The Uniform Convergence Of Special Standardized Distributions, Marcia Lami

Masters Theses & Specialist Projects

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.