Title:
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Bayesian tools for zero counts in compositional data
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Author:
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Daunis i Estadella, Josep; Martín Fernández, Josep Antoni; Palarea Albaladejo, Javier
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Other authors:
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Daunis i Estadella, Josep; Martín Fernández, Josep Antoni; Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada |
Abstract:
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The log-ratio methodology makes available powerful tools for analyzing compositionaldata. Nevertheless, the use of this methodology is only possible for those data setswithout null values. Consequently, in those data sets where the zeros are present, aprevious treatment becomes necessary. Last advances in the treatment of compositionalzeros have been centered especially in the zeros of structural nature and in the roundedzeros. These tools do not contemplate the particular case of count compositional datasets with null values. In this work we deal with \count zeros" and we introduce atreatment based on a mixed Bayesian-multiplicative estimation. We use the Dirichletprobability distribution as a prior and we estimate the posterior probabilities. Then weapply a multiplicative modi¯cation for the non-zero values. We present a case studywhere this new methodology is applied.Key words: count data, multiplicative replacement, composition, log-ratio analysis |
Abstract:
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Geologische Vereinigung; Institut d’Estadística de Catalunya; International Association for Mathematical Geology; Càtedra Lluís Santaló d’Aplicacions de la Matemàtica; Generalitat de Catalunya, Departament d’Innovació, Universitats i Recerca; Ministerio de Educación y Ciencia; Ingenio 2010. |
Publication date:
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2009-04-01 |
Subject(s):
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-Estadística bayesiana -Dirichlet, Sèries de |
Rights:
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Tots els drets reservats |
Document type:
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Conference Object |
Published by:
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Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada
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