Doctoral Dissertations

James Wyckoff

Abstract

"This dissertation is presented in publication form and consists of two articles. The first article considers inferential procedures on the shape parameter of a gamma distribution from censored sampling. Moments for the statistic T = log(x̅r/x͠r) are found and used to derive a two-moment chi-square approximation for T. This approximation is then used for testing, estimating, and setting confidence bounds on the shape parameter of a gamma distribution. The second article concerns the Cramér-Rao lower bounds for the variances of estimators, where the estimators are based on censored data. Convenient techniques are derived to evaluate the lower bounds in the presence or absence of nuisance parameters"--Abstract, page iii.

Advisor(s)

Engelhardt, Max

Committee Member(s)

Bain, Lee J., 1939-
Wright, F. T.
Patel, J.
Gillett, Billy E.

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Publisher

University of Missouri--Rolla

Publication Date

1978

Journal article titles appearing in thesis/dissertation

  • Inferential procedures on the shape parameter of a gamma distribution from censored data

  • Cramér-Rao lower bounds for estimators based on censored data

Pagination

viii, 80 pages

Note about bibliography

Includes bibliographical references.

Rights

© 1978 James Wyckoff, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Thesis Number

T 4424

Print OCLC #

6009404

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Included in

Mathematics Commons

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