Stasinopoulos, Dimitrios M., Rigby, Robert A., Heller, Gillian Z. and De Bastiani, Fernanda (2023) P-splines and GAMLSS: a powerful combination, with an application to zero-adjusted distributions. Statistical Modelling, 23 (5-6). pp. 510-524. ISSN 1471-082X (Print), 1477-0342 (Online) (doi:10.1177/1471082X231176635)

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Abstract

P-splines are a versatile statistical modelling tool, dealing with nonlinear relationships between the response and explanatory variable(s). GAMLSS is a distributional regression framework which allows modelling of a response variable using any parametric distribution. The combination of the two methodologies provides one of the most powerful tools in modern regression analysis. This article discusses the application of the two techniques when the response variable is zero-adjusted (or semi-continuous), which combines a point probability at zero with a positive continuous distribution.

Item Type:	Article
Uncontrolled Keywords:	P-splines; GAMLSS; Box-Cox t distribution; zero-adjusted distribution; zero-heavy distribution; semi-continuous distribution
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS)
Last Modified:	11 Jun 2024 14:51
URI:	http://gala.gre.ac.uk/id/eprint/47372

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