Estimation and computations for Gaussian mixtures with uniform noise under separation constraints

DOI10.1007/s10260-021-00578-2OpenAlexW3186711253MaRDI QIDQ2152202

Pietro Coretto

Publication date: 7 July 2022

Published in: Statistical Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10260-021-00578-2

zbMATH Keywords

robustnessEM algorithmmodel-based clusteringdensity estimationoutlier identificationmixture modelsnoise component

Mathematics Subject Classification ID

Statistics (62-XX)

Uses Software

• KernSmooth
• robustbase
• NLopt
• otrimle
• EMMIXskew
• GitHub
• mrfDepth
• RobStatTM
• cntclust

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximum likelihood estimation of heterogeneous mixtures of Gaussian and uniform distributions
• A general trimming approach to robust cluster analysis
• An adjusted boxplot for skewed distributions
• A constrained formulation of maximum-likelihood estimation for normal mixture distributions
• A robust method for cluster analysis
• Consistency of the MLE under mixture models
• Breakdown points for maximum likelihood estimators of location-scale mixtures
• A simulation study to compare robust clustering methods based on mixtures
• Information criteria and statistical modeling.
• A likelihood-based constrained algorithm for multivariate normal mixture models
• Strong consistency of the maximum likelihood estimator for finite mixtures of location-scale distributions when the scale parameters are exponentially small
• Robust model-based clustering with mild and gross outliers
• A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations
• Parsimonious mixtures of multivariate contaminated normal distributions
• An Akaike-type information criterion for model selection under inequality constraints
• Mixture Densities, Maximum Likelihood and the EM Algorithm
• Model-Based Gaussian and Non-Gaussian Clustering
• Model Selection and Multimodel Inference
• Robust Methods for Data Reduction
• Identifiability of Finite Mixtures
• Estimating the components of a mixture of normal distributions

This page was built for publication: Estimation and computations for Gaussian mixtures with uniform noise under separation constraints