The Anderson-Darling goodness-of-fit test statistic for the three-parameter lognormal distribution

Tolikas, Konstantinos ORCID: https://orcid.org/0000-0001-8281-0709 and Heravi, Saeed ORCID: https://orcid.org/0000-0002-0198-764X 2008. The Anderson-Darling goodness-of-fit test statistic for the three-parameter lognormal distribution. Communications in Statistics - Theory and Methods 37 (19) , pp. 3135-3143. 10.1080/03610920802101571

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Business (Including Economics)
Subjects:	H Social Sciences > HA Statistics
Uncontrolled Keywords:	Anderson–Darling goodness-of-fit test ; L-moments; Probability weighted moments ; Three-parameter lognormal distribution
Publisher:	Taylor & Francis
ISSN:	0361-0926
Last Modified:	06 Jan 2024 03:44
URI:	https://orca.cardiff.ac.uk/id/eprint/20259

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