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Robust Multivariate Tolerance Regions: Influence Function and Monte Carlo Study

Graciela Boente and Andrés Farall
Technometrics
Vol. 50, No. 4 (Nov., 2008), pp. 487-500
Stable URL: http://www.jstor.org/stable/25471532
Page Count: 14
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Robust Multivariate Tolerance Regions: Influence Function and Monte Carlo Study
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Abstract

In this article we define a class of multivariate tolerance regions that turn out to be more resistant than the classical ones to outliers. The tolerance factors are numerically evaluated under the central model, and the sensitivity to deviations from the normal distribution for moderate samples is studied through a Monte Carlo study. Moreover, the influence function of the coverage probability allows us to compare the sensitivity of different proposals to anomalous data. Finally, real data examples are discussed.

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