Masters Theses

Abstract

"A comparison is made between the estimates of the parameters in a gamma distribution obtained by the method of moments with those obtained by a numerical approximation to the maximum likelihood estimates. The estimates obtained by the numerical approximation had a smaller mean squared error from the true value than the estimates obtained by the method of moments. Modifications to tests of fit are made in order to develop methods to select a distribution from a set of possible distributions for a population with an unknown distribution. These selection methods are compared in their ability to make correct selections. Although the likelihood ratio method was not shown to be significantly better than the other methods, it is recommended for use in selecting a distribution from a set"--Abstract, page ii.

Advisor(s)

Lee, Ralph E., 1921-2010

Committee Member(s)

Sauer, Harry J., Jr., 1935-2008
Bain, Lee J., 1939-
Antle, Charles E.

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Applied Mathematics

Publisher

University of Missouri at Rolla

Publication Date

1965

Pagination

iv, 23 pages

Note about bibliography

Includes bibliographical references (pages 44-47).

Rights

© 1965 Howard Lyndal Colburn, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Probabilities -- Mathematical models
Moments method (Statistics)
Numerical analysis

Thesis Number

T 1784

Print OCLC #

5968871

Electronic OCLC #

841411474

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