Manly transformation in finite mixture modeling

DOI10.1016/j.csda.2016.01.015zbMath1469.62184OpenAlexW2259561461MaRDI QIDQ158374

Volodymyr Melnykov, Xuwen Zhu, Xuwen Zhu, Volodymyr Melnykov

Publication date: May 2018

Published in: Computational Statistics & Data Analysis, Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2016.01.015

zbMATH Keywords

classificationmodel-based clusteringfinite mixture modelskewnessmanly transformation

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Classification and discrimination; cluster analysis (statistical aspects) (62H30)

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Uses Software

• Stata
• mixsmsn
• MixSim
• flowClust
• Emmixuskew
• ManlyMix
• EMMIXskew
• mboxcox

Cites Work

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• Multivariate mixture modeling using skew-normal independent distributions
• Model-based clustering and classification with non-normal mixture distributions
• On mixtures of skew normal and skew \(t\)-distributions
• On the distribution of posterior probabilities in finite mixture models with application in clustering
• Initializing the EM algorithm in Gaussian mixture models with an unknown number of components
• Methods for merging Gaussian mixture components
• A note on the multivariate Box-Cox transformation to normality
• Model-based clustering, classification, and discriminant analysis via mixtures of multivariate \(t\)-distributions
• Flexible mixture modeling via the multivariate \(t\) distribution with the Box-Cox transformation: an alternative to the skew-\(t\) distribution
• Finite mixtures of multivariate skew \(t\)-distributions: some recent and new results
• Medical applications of finite mixture models
• Choosing starting values for the EM algorithm for getting the highest likelihood in multivariate Gaussian mixture models
• Estimating the dimension of a model
• Parsimonious skew mixture models for model-based clustering and classification
• Identifying connected components in Gaussian finite mixture models for clustering
• Model-based biclustering of clickstream data
• Maximum likelihood estimation for multivariate skew normal mixture models
• A Look at Some Data on the Old Faithful Geyser
• The EM Algorithm and Extensions, 2E
• Model-Based Gaussian and Non-Gaussian Clustering
• The multivariate skew-normal distribution
• A mixture of generalized hyperbolic distributions
• A Simplex Method for Function Minimization