Doctoral Dissertations

Abstract

"Procedures for handling statistical problems with nuisance parameters are considered with special reference to problems in the three parameter generalized gamma distribution. Maximum likelihood estimation of the parameters of this density has been investigated. Properties of these estimates are established which make it possible to make inferences about the parameters. Discrimination between various models for life testing problems is discussed and the robustness of the Weibull model is advanced. The question of the existence of the maximum likelihood estimates of the parameters for all samples is raised. Empiric evidence is presented indicating that they may not exist for all small samples"--Abstract, page ii.

Advisor(s)

Bain, Lee J., 1939-

Committee Member(s)

Harkness, William L.
Antle, Charles E.
Haddock, Glen
Johnson, James W., 1930-2002
Jawa, M. S.

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Publisher

University of Missouri--Rolla

Publication Date

1969

Pagination

vii, 68 pages

Note about bibliography

Includes bibliographical references (pages 65-67).

Rights

© 1969 Harold Walter Hager, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Mathematical statistics
Mathematical statistics -- Methodology
Gamma functions

Thesis Number

T 2298

Print OCLC #

5152387

Electronic OCLC #

833159817

Included in

Mathematics Commons

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