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Mahalanobis Distances on Factor Model Based Estimation

Deliang Dai ()
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Deliang Dai: Department of Economics and Statistics, Linnaeus university, 351 95 Växjö, Sweden

Econometrics, 2020, vol. 8, issue 1, 1-11

Abstract: A factor model based covariance matrix is used to build a new form of Mahalanobis distance. The distribution and relative properties of the new Mahalanobis distances are derived. A new type of Mahalanobis distance based on the separated part of the factor model is defined. Contamination effects of outliers detected by the new defined Mahalanobis distances are also investigated. An empirical example indicates that the new proposed separated type of Mahalanobis distances predominate the original sample Mahalanobis distance.

Keywords: dimension reduction; covariance matrix estimation; outlier detection; multivariate analysis (search for similar items in EconPapers)
JEL-codes: B23 C C00 C01 C1 C2 C3 C4 C5 C8 (search for similar items in EconPapers)
Date: 2020
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