Asymmetric clusters and outliers: mixtures of multivariate contaminated shifted asymmetric Laplace distributions

DOI10.1016/j.csda.2018.12.001OpenAlexW2963724803MaRDI QIDQ1727862

Katherine Morris, Paul D. McNicholas, Antonio Punzo, Ryan P. Browne

Publication date: 21 February 2019

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

Full work available at URL: https://arxiv.org/abs/1402.6744

zbMATH Keywords

model-based clusteringmixture modelsoutlier detectionshifted asymmetric Laplace distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Computational methods for problems pertaining to statistics (62-08) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Point estimation (62F10)

Related Items (13)

Dimension-wise scaled normal mixtures with application to finance and biometry ⋮ Outlier detection in multivariate functional data through a contaminated mixture model ⋮ Robust fitting of mixture models using weighted complete estimating equations ⋮ Mixtures of Matrix-Variate Contaminated Normal Distributions ⋮ Robust model-based clustering with mild and gross outliers ⋮ Clustering asymmetrical data with outliers: parsimonious mixtures of contaminated mean-mixture of normal distributions ⋮ On model-based clustering of directional data with heavy tails ⋮ Multiple scaled contaminated normal distribution and its application in clustering ⋮ Editorial for the 4th special issue on advances in mixture models ⋮ An evolutionary algorithm with crossover and mutation for model-based clustering ⋮ Transformation mixture modeling for skewed data groups with heavy tails and scatter ⋮ A variational approximations-DIC rubric for parameter estimation and mixture model selection within a family setting ⋮ Robust finite mixture modeling of multivariate unrestricted skew-normal generalized hyperbolic distributions

Uses Software

• mclust
• R
• KernSmooth
• mixsmsn
• sn
• LaplacesDemon
• ContaminatedMixt

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