Tesis
Uma análise bayesiana para dados composicionais.
Fecha
2005-03-03Registro en:
OBAGE, Simone Cristina. Uma análise bayesiana para dados composicionais.. 2005. 77 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de São Carlos, São Carlos, 2005.
Autor
Obage, Simone Cristina
Institución
Resumen
Compositional data are given by vectors of positive numbers with sum equals to one.
These kinds of data are common in many applications, as in geology, biology, economy
among many others. In this paper, we introduce a Bayesian analysis for compositional
data considering additive log-ratio (ALR) and Box-Cox transformations assuming a mul-
tivariate normal distribution for correlated errors. These results generalize some existing
Bayesian approaches assuming uncorrelated errors. We also consider the use of expo-
nential power distributions for uncorrelated errors considering additive log-ratio (ALR)
transformation. We illustrate the proposed methodology considering a real data set.