Gómez Sánchez-Manzano, EusebioGómez Villegas, Miguel ÁngelMarín Diazaraque, Juan Miguel2023-06-202023-06-202008Gómez Sánchez-Manzano, E., Gómez Villegas, M. Á., Marín Diazaraque, J. M. «Multivariate Exponential Power Distributions as Mixtures of Normal Distributions with Bayesian Applications». Communications in Statistics - Theory and Methods, vol. 37, n.o 6, febrero de 2008, pp. 972-85. DOI.org (Crossref), https://doi.org/10.1080/03610920701762754.0361-092610.1080/03610920701762754https://hdl.handle.net/20.500.14352/49407It is shown that a multivariate exponential power distribution is a scale mixture of normal distributions, with respect to a probability distribution function, when its kurtosis parameter belongs to the interval (0,1]. The corresponding mixing probability distribution function is presented. This result is used to design a Bayesian hierarchical model and an algorithm to generate samples of the posterior distribution; these are applied to a problem of Quantitative Genetics.engjournal articlehttps//doi.org/10.1080/03610920701762754http://www.informaworld.com/smpp/title~content=t713597238~db=allopen access519.22Elliptically contoured distributionElliptical distributionMultivariate exponential power distributionScale mixture of normal distributionsStable distributionHierarchical Bayesian modelMontecarlo methodsEstadística matemática (Matemáticas)1209 Estadística