Doctoral Dissertations

Abstract

"Various estimators of the location and scale parameters in the Cauchy distribution are investigated, and the superiority of the maximum likelihood estimators is established. Tables based on maximum likelihood estimators are presented for use in making statistical inferences for the Cauchy distribution. Those areas considered include confidence intervals, tests of hypothesis, power of the tests, and tolerance intervals. Both one- and two-sample problems are considered. Tables for testing the hypothesis of whether a sample came from a normal distribution or a Cauchy distribution are presented. The problems encountered in finding maximum likelihood estimators for the Cauchy parameters are discussed, and a computer program for obtaining the estimates is included"--Abstract, page ii.

Advisor(s)

Antle, Charles E.

Committee Member(s)

Gillett, Billy E.
Jones, R. E. Douglas
Thompson, W. A.
Bain, Lee J., 1939-
Sauer, Harry J., Jr., 1935-2008

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Publisher

University of Missouri--Rolla

Publication Date

1969

Pagination

viii, 102 pages

Note about bibliography

Includes bibliographical references (pages 78-79).

Rights

© 1969 Gerald Nicholas Haas, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Cauchy problem -- Numerical solutions
Operator theory
Estimation theory -- Mathematical models
Estimation theory -- Computer programs

Thesis Number

T 2261

Print OCLC #

5151458

Electronic OCLC #

840616605

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Included in

Mathematics Commons

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