The Anderson–Darling Goodness-of-Fit Test Statistic for the Three-Parameter Lognormal Distribution
- 15 August 2008
- journal article
- goodness of-fit-tests
- Published by Taylor & Francis Ltd in Communications in Statistics - Theory and Methods
- Vol. 37 (19), 3135-3143
- https://doi.org/10.1080/03610920802101571
Abstract
Anderson–Darling goodness-of-fit test percentage points are given for the three-parameter lognormal distribution for both the cases of positive skewness and a lower bound and negative skewness and an upper bound. The focus is on the most practical case when all parameters are unknown and must be estimated from the sample data. Fitted response functions for the critical values based on the shape parameter and sample size are reported to avoid using a vast array of tables.Keywords
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