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Convex linear combination processes for compositions

Aitchison and Bacon-Shone (1999) considered convex linear combinations ofcompositions. In other words, they investigated compositions of compositions, wherethe mixing composition follows a logistic Normal distribution (or a perturbationprocess) and the compositions being mixed follow a logistic Normal distribution. Inthis paper, I investigate the extension to situations where the mixing compositionvaries with a number of dimensions. Examples would be where the mixingproportions vary with time or distance or a combination of the two. Practicalsituations include a river where the mixing proportions vary along the river, or acrossa lake and possibly with a time trend. This is illustrated with a dataset similar to thatused in the Aitchison and Bacon-Shone paper, which looked at how pollution in aloch depended on the pollution in the three rivers that feed the loch. Here, I explicitlymodel the variation in the linear combination across the loch, assuming that the meanof the logistic Normal distribution depends on the river flows and relative distancefrom the source origins

Geologische Vereinigung; Institut d鈥橢stad铆stica de Catalunya; International Association for Mathematical Geology; Patronat de l鈥橢scola Polit猫cnica Superior de la Universitat de Girona; Fundaci贸 privada: Girona, Universitat i Futur; C脿tedra Llu铆s Santal贸 d鈥橝plicacions de la Matem脿tica; Consell Social de la Universitat de Girona; Ministerio de Ciencia i Tecnolog铆a.cat

Universitat de Girona. Departament d鈥橧nform脿tica i Matem脿tica Aplicada

Manager: Mateu i Figueras, Gl貌ria
Barcel贸 i Vidal, Carles
Other contributions: Universitat de Girona. Departament d鈥橧nform脿tica i Matem脿tica Aplicada
Author: Bacon Shone, John
Abstract: Aitchison and Bacon-Shone (1999) considered convex linear combinations ofcompositions. In other words, they investigated compositions of compositions, wherethe mixing composition follows a logistic Normal distribution (or a perturbationprocess) and the compositions being mixed follow a logistic Normal distribution. Inthis paper, I investigate the extension to situations where the mixing compositionvaries with a number of dimensions. Examples would be where the mixingproportions vary with time or distance or a combination of the two. Practicalsituations include a river where the mixing proportions vary along the river, or acrossa lake and possibly with a time trend. This is illustrated with a dataset similar to thatused in the Aitchison and Bacon-Shone paper, which looked at how pollution in aloch depended on the pollution in the three rivers that feed the loch. Here, I explicitlymodel the variation in the linear combination across the loch, assuming that the meanof the logistic Normal distribution depends on the river flows and relative distancefrom the source origins
Geologische Vereinigung; Institut d鈥橢stad铆stica de Catalunya; International Association for Mathematical Geology; Patronat de l鈥橢scola Polit猫cnica Superior de la Universitat de Girona; Fundaci贸 privada: Girona, Universitat i Futur; C脿tedra Llu铆s Santal贸 d鈥橝plicacions de la Matem脿tica; Consell Social de la Universitat de Girona; Ministerio de Ciencia i Tecnolog铆a.cat
Document access: http://hdl.handle.net/2072/14701
Language: eng
Publisher: Universitat de Girona. Departament d鈥橧nform脿tica i Matem脿tica Aplicada
Rights URI: http://hdl.handle.net/10256/683
Subject: Combinacions (Matem脿tica)
Title: Convex linear combination processes for compositions
Type: info:eu-repo/semantics/conferenceObject
Repository: Recercat

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