Doctoral Dissertations

Abstract

"Three models are considered that have U-shaped hazard functions, and a fourth model is considered that has a linear hazard function. Several methods for estimating the parameters are given for each of these models. Also, various tests of hypotheses are considered in the case of the model with the linear hazard function. One of the models with a U-shaped hazard function has a location and a scale parameter, and it is proved in general that any other parameters in a distribution of this type are distributed independently of the location and scale parameters.

A new method used to estimate the parameters in the preceding distributions is also employed to estimate the parameters in the Logistic distribution, and comparisons based on Monte Carlo methods are made between these estimators and the maximum likelihood estimators for n = 10, 20, 40, 80 and for complete samples and censoring from the right for r/n = .1, .3, .5 and .7….The means and variances of the estimators of reliability are given"--Abstract, page ii.

Advisor(s)

Bain, Lee J., 1939-

Committee Member(s)

Haddock, Glen
Engelhardt, Max
Ho, C. Y. (Chung You), 1933-1988
Johnson, Dallas E., 1938-

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Publisher

University of Missouri--Rolla

Publication Date

1972

Pagination

vi, 79 pages

Note about bibliography

Includes bibliographical references (pages 67-68).

Rights

© 1972 James Addison Eastman, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Failure time data analysis
Estimation theory -- Mathematical models
Regression analysis

Thesis Number

T 2789

Print OCLC #

6037112

Electronic OCLC #

904438706

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Included in

Mathematics Commons

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