Inferences On The Parameters Of The Weibull Distribution

Author

Darrel R. Thoman
Lee J. Bain, Missouri University of Science and TechnologyFollow
Charles E. Antle, Missouri University of Science and Technology

Abstract

The problems of estimation and testing hypotheses regarding the parameters in the Weibull distribution are considered in this paper. The following results are given: 1. Exact confidence intervals for the parameters based upon maximum likelihood estimators are presented. 2. A table of unbiasing factors (depending upon sample size) for the maximum likelihood estimator of the shape parameter is given. 3. Tests of hypotheses regarding the parameters and the power of the test regarding the shape parameter are developed and presented. 4. Sample sizes at which large sample theory may be useful are presented. © 1969 Taylor & Francis Group, LLC.

Recommended Citation

D. R. Thoman et al., "Inferences On The Parameters Of The Weibull Distribution," Technometrics, vol. 11, no. 3, pp. 445 - 460, Taylor and Francis Group; Taylor and Francis; American Statistical Association, Jan 1969.

The definitive version is available at https://doi.org/10.1080/00401706.1969.10490706

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

1537-2723; 0040-1706

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Taylor and Francis Group; Taylor and Francis; American Statistical Association, All rights reserved.

Publication Date

01 Jan 1969