Goodness-of-Fit for the Weibull Distribution with Unknown Parameters and Censored Sampling

Author

• Michael Edward Aho

Abstract

"The Cramer-von Mises W², Kolmogorov-Smirnov D, and Kuiper V goodness-of-fit statistics are examined in particular reference to the two-parameter Weibull distribution, Modifications of these statistics are investigated for goodness - of-fit testing the two-parameter Weibull distribution. The modified statistics W*², D*, and V*, are introduced for testing of a two-parameter Weibull model as a fitting distribution, shape and scale parameters unknown, the samples subjected to type II censoring on the right for censoring fractions .1(.1)1.0. A program was run to simulate the distributions of the modified statistics and relevant tables are presented. Application of goodness-of-fit testing for the two-parameter Weibull, parameters unknown, is discussed for the modified statistics W*², D*, and V*"-- Abstract, p. iii

Advisor(s)

Bain, Lee J., 1939-

Committee Member(s)

Engelhardt, Max
Rigler, A. K.

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Applied Mathematics

Publisher

University of Missouri--Rolla

Publication Date

Fall 1982

Pagination

vi, 72 pages

Note about bibliography

Includes bibliographical references.

Rights

© 1982 Michael Edward Aho, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 4893

Print OCLC #

9310314

Recommended Citation

Aho, Michael Edward, "Goodness-of-Fit for the Weibull Distribution with Unknown Parameters and Censored Sampling" (1982). Masters Theses. 3991.
https://scholarsmine.mst.edu/masters_theses/3991