A Review Of Model Selection Procedures Relevant To The Weibull Distribution


A number of goodness-of-fit and model selection procedures related to the Weibull distribution are reviewed. These procedures include probability plottin correlation type goodness-of-fit tests, and chi-square goodness-of-fit tests. Also the Kolmogorov-Smirniv, Kuiper, and Cramer-Von Mises test statistics for completely specified hypothesis based on censored data are reviewed, and these test statistics based on complete samples for the unspecified parameters case are considered. Goodness-of-fit tests based on sample spacings, and a qoodness-of-fit test for the Weibull process, is also discussed. Model selection procedures for selecting between a Weibull and gamma model, a Weibull and lognormal model, and for selecting from among all three models are considered. Also tests of exponential versus Weibull and Weibull versus generalized gamma are mentioned. © 1983, Taylor & Francis Group, LLC. All rights reserved.


Mathematics and Statistics

Second Department

Geosciences and Geological and Petroleum Engineering

Keywords and Phrases

Goodness-of-Fit; Weibull Distribution

International Standard Serial Number (ISSN)

1532-415X; 0361-0926

Document Type

Article - Journal

Document Version


File Type





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

Publication Date

01 Jan 1983