Statistical analysis with missing data
Statistical analysis with missing data
Robust regression and outlier detection
Robust regression and outlier detection
Generalization of the Mahalanobis distance in the mixed case
Journal of Multivariate Analysis
Maximum trimmed likelihood estimators: a unified approach, examples, and algorithms
Computational Statistics & Data Analysis
Influence function and efficiency of the minimum covariance determinant scatter matrix estimator
Journal of Multivariate Analysis
A generalized Mahalanobis distance for mixed data
Journal of Multivariate Analysis
Robust regression diagnostics with data transformations
Computational Statistics & Data Analysis
Robust diagnostics for the heteroscedastic regression model
Computational Statistics & Data Analysis
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In this article, we apply the maximum trimmed likelihood (MTL) approach [Hadi, A.S., Luceno, A., 1997. Maximum trimmed likelihood estimators: a unified approach, examples, and algorithms. Comput. Statist. Data Anal. 25, 251-272] to obtain the robust estimators of multivariate location and shape, especially for data mixed with continuous and categorical variables. The forward search algorithm [Atkinson, A.C., 1994. Fast very robust methods for the detection of multiple outliers. J. Amer. Statist. Assoc. 89, 1329-1339] is adapted to compute the proposed MTL estimates. A simulation study shows that the proposed estimator outperforms the classical maximum likelihood estimator when outliers exist in data. Real data sets are also used to illustrate the method and results of the detection of the outliers.