Browsing by Author "Yen, Shu Y."

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Finite mixture modelling using the skew normal distribution
(2007-07-01)
Lin, Tsung I.
;
Lee, Jack C.
;
Yen, Shu Y.
;
統計學研究所
;
資訊管理與財務金融系註：原資管所+財金所
Normal mixture models provide the most popular framework for modelling heterogeneity in a population with continuous outcomes arising in a variety of subclasses. In the last two decades, the skew normal distribution has been shown beneficial in dealing with asymmetric data in various theoretic and applied problems. In this article, we address the problem of analyzing a mixture of skew normal distributions from the likelihood-based and Bayesian perspectives, respectively. Computational techniques using EM-type algorithms are employed for iteratively computing maximum likelihood estimates. Also, a fully Bayesian approach using the Markov chain Monte Carlo method is developed to carry out posterior analyses. Numerical results are illustrated through two examples.