Journal
ASTA-ADVANCES IN STATISTICAL ANALYSIS
Volume 101, Issue 3, Pages 321-344Publisher
SPRINGER
DOI: 10.1007/s10182-017-0291-6
Keywords
Box-Cox transformation; Symmetric distributions; Box-Cox power exponential distribution; Box-Cox slash distribution; Box-Cox t distribution; Log-symmetric distributions; Nutrients intake
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Funding
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico [304388-2014-9]
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo [2012/21788-2]
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior
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We introduce and study the Box-Cox symmetric class of distributions, which is useful for modeling positively skewed, possibly heavy-tailed, data. The new class of distributions includes the Box-Cox t, Box-Cox Cole-Green (or Box-Cox normal), Box-Cox power exponential distributions, and the class of the log-symmetric distributions as special cases. It provides easy parameter interpretation, which makes it convenient for regression modeling purposes. Additionally, it provides enough flexibility to handle outliers. The usefulness of the Box-Cox symmetric models is illustrated in a series of applications to nutritional data.
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