ContaminatedMixt swMATH ID: 21014 Software Authors: Antonio Punzo, Angelo Mazza, Paul D. McNicholas Description: ContaminatedMixt: An R Package for Fitting Parsimonious Mixtures of Multivariate Contaminated Normal Distributions. We introduce the R package ContaminatedMixt, conceived to disseminate the use of mixtures of multivariate contaminated normal distributions as a tool for robust clustering and classification under the common assumption of elliptically contoured groups. Thirteen variants of the model are also implemented to introduce parsimony. The expectation-conditional maximization algorithm is adopted to obtain maximum likelihood parameter estimates, and likelihood-based model selection criteria are used to select the model and the number of groups. Parallel computation can be used on multicore PCs and computer clusters, when several models have to be fitted. Differently from the more popular mixtures of multivariate normal and t distributions, this approach also allows for automatic detection of mild outliers via the maximum a posteriori probabilities procedure. To exemplify the use of the package, applications to artificial and real data are presented. Homepage: https://cran.r-project.org/web/packages/ContaminatedMixt/index.html Source Code: https://github.com/cran/ContaminatedMixt Dependencies: R Related Software: R; mclust; TCLUST; teigen; otrimle; flexmix; flexCWM; mixture; cntclust; PGMM; cluster (R); mtclust; fpc; mixtools; Rmixmod; bgmm; mixSPE; QRM; MVN; ghyp Cited in: 19 Documents all top 5 Cited by 28 Authors 12 Punzo, Antonio 4 Bagnato, Luca 2 Farcomeni, Alessio 2 Maruotti, Antonello 2 Mazza, Angelo 2 McNicholas, Paul D. 2 Tortora, Cristina 1 Amovin-Assagba, Martial 1 Browne, Ryan P. 1 Castro, Luis Mauricio 1 Dotto, Francesco 1 Ferraro, Maria Brigida 1 Gannaz, Irène 1 García-Escudero, Luis Angel 1 Giordani, Paolo E. 1 Ingrassia, Salvatore 1 Jacques, Julien 1 Kobayashi, Genya 1 Lin, Tsung I. 1 Martella, Francesca 1 Mayo-Iscar, Agustin 1 Morris, Katherine 1 Riani, Marco 1 Sugasawa, Shonosuke 1 Tomarchio, Salvatore D. 1 Tong, Hung 1 Wang, Wan-Lun 1 Yang, Yuchen all top 5 Cited in 13 Serials 4 Computational Statistics and Data Analysis 2 Journal of Statistical Computation and Simulation 2 Statistical Papers 2 Journal of Applied Statistics 1 Journal of Multivariate Analysis 1 Journal of Classification 1 Computational Statistics 1 Test 1 Statistical Modelling 1 Advances in Data Analysis and Classification. ADAC 1 AStA. Advances in Statistical Analysis 1 Statistics and Computing 1 Behaviormetrics: Quantitative Approaches to Human Behavior Cited in 2 Fields 19 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year