Browsing by Autor "Edilberto Cepeda Cuervo"
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Item type: Item , Heteroscedastic Weibull-Normal Mixture Models: A Bayesian Approach(Taylor & Francis, 2013) Liliana Garrido; Edilberto Cepeda CuervoAbstract In this article, we propose Bayesian methodology to obtain parameter estimates of the mixture of distributions belonging to the normal and biparametric Weibull families, modeling the mean and the variance parameters. Simulated studies and applications show the performance of the proposed models. Keywords: Bayesian inferenceMixture modelsNormal regressionWeibull regressionMathematics Subject Classification: 62J05 Acknowledgments Cepeda's work was supported by a grant from Universidad Nacional de Colombia. The authors would like to thank the reviewers for their comments, which were very helpful in the improvement of this article. Notes Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/lsta.Item type: Item , Modeling Abilities in 3-IRT Models(2004) Edilberto Cepeda CuervoThis paper considers situations where regression models are proposed to model abilities on three parameter logistic models. After a summary of the classical approach to estimate the item parameters and the abilities, we provide an exposition of the maximum likelihood method to estimate the regression parameters. We analyze how good these estimations are, using a simulated study, and we include an application.