Item
Mateu i Figueras, GlÃ²ria
PawlowskyGlahn, Vera Juan JosÃ©, Egozcue 

2013  
Phenomena with a constrained sample space appear frequently in practice. This is the case e.g. with strictly positive data, or with compositional data, like percentages or proportions. If the natural measure of difference is not the absolute one, simple algebraic properties show that it is more convenient to work with a geometry different from the usual Euclidean geometry in real space, and with a measure different from the usual Lebesgue measure, leading to alternative models which better fit the phenomenon under study. The general approach is presented and illustrated using the normal distribution, both on the positive real line and on the Dpart simplex. The original ideas of McAlister in his introduction to the lognormal distribution in 1879, are recovered and updated  
application/pdf  
16962281 (versiÃ³ paper) 20138830 (versiÃ³ electrÃ²nica) 

http://hdl.handle.net/10256/8987  
eng  
Institut dÂ´EstadÃstica de Catalunya (Idescat)  
ReproducciÃ³ digital del document publicat a: http://www.raco.cat/index.php/SORT/article/view/261658 Articles publicats (DIMA) 

SORT : statistics and operations research transactions, 2013, vol. 37, nÃºm. 1, p. 2956  
AttributionNonCommercialNoDerivs 3.0 Spain  
http://creativecommons.org/licenses/byncnd/3.0/es/  
DistribuciÃ³ (Teoria de la probabilitat)
Distribution (Probability theory) 

The normal distribution in some constrained sample spaces  
info:eurepo/semantics/article  
DUGiDocs 