Some Tests Of Hypotheses Concerning The Three-Parameter Weibull Distribution

Author

Lee J. Bain, Missouri University of Science and TechnologyFollow
Darrel R. Thoman

Abstract

Tests are developed concerning the mean of the three-parameter Weibull distribution with the variance known and with the variance unknown, and concerning the variance with the mean unknown. The shape parameter is considered known. These tests are compared with tests developed by Harter and Dubey based on the usual statistics for the normal case. A two-sample test for difference in means and for difference in reliability is also discussed. For the most part the tests are simple yet provide improvements over existing methods. Copyright Taylor & Francis.

Recommended Citation

L. J. Bain and D. R. Thoman, "Some Tests Of Hypotheses Concerning The Three-Parameter Weibull Distribution," Journal of the American Statistical Association, vol. 63, no. 323, pp. 853 - 860, Taylor and Francis Group; Taylor and Francis; American Statistical Association, Jan 1968.

The definitive version is available at https://doi.org/10.1080/01621459.1968.11009314

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

1537-274X; 0162-1459

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 1968