Browsing by Author "Ayala, Daniel"

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    Nutrition gap in children, urban-rural: the key education and food. Colombia, 2015
    (2020) Bermudez, Jhael N.; Ayala, Daniel; Herran, Oscar F.
    OBJECTIVE: To analyze the nutritional situation of children under five years old from both urban and rural areas of Colombia.
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    On a Dirichlet Process Mixture Representation of Phase-Type Distributions
    (2022) Ayala, Daniel; Jofre, Leonardo; Gutierrez, Luis; Mena, Ramses H.
    An explicit representation of phase-type distributions as an infinite mixture of Erlang distributions is introduced. The representation unveils a novel and useful connection between a class of Bayesian nonparametric mixture mod-els and phase-type distributions. In particular, this sheds some light on two hot topics, estimation techniques for phase-type distributions, and the availability of closed-form expressions for some functionals related to Dirichlet process mixture models. The power of this connection is illustrated via a posterior inference al-gorithm to estimate phase-type distributions, avoiding some difficulties with the simulation of latent Markov jump processes, commonly encountered in phase-type Bayesian inference. On the other hand, closed-form expressions for functionals of Dirichlet process mixture models are illustrated with density and renewal function estimation, related to the optimal salmon weight distribution of an aquaculture study.