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Activity Number: 289
Type: Contributed
Date/Time: Tuesday, August 8, 2006 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract - #305513
Title: Robust Diagnostics for Multivariate Mixed Continuous and Categorical Data
Author(s): Tsung-Chi Cheng*+ and Atanu Biswas
Companies: National Chengchi University and Indian Statistical Institute
Address: 64 Section 2 ZhiNan Road, Taiepi, 11605, Taiwan
Keywords: maximum trimmed likelihood estimator ; multiple outliers ; robust Mahalanobis distance ; robust diagnostics
Abstract:

In this article, we apply the maximum trimmed likelihood (MTL) approach (Hadi and Luceno 1997) to obtain the robust estimators of multivariate location and shape, especially for data mixed with continuous and categorical variables. The forward search algorithm (Atkinson 1994) is adapted to compute the proposed MTL estimates. A simulation study shows the proposed estimator outperforms the classical maximum likelihood estimator when outliers exist in data. Real datasets also are used to illustrate the method and results of the detection of the outliers.


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