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Breakdown Point

Posted by dhin pada 26 April 2009

Breakdown Point
Kemampuan untuk mendeteksi adanya outlier pada data. Outlier adalah data yang tidak mengikuti pola umum persamaan regresi linier.

Asymptotic Theory for some High Breakdown Point Estimators
Victoria Zinde-Walsh
Department of Economics,McGill University,

Abstract
High breakdown point estimators in regression are robust against gross contamination in the regressors as well as the errors; the least median of squares (LMS) estimator has the additional property of packing the majority of the sample most tightly around the estimated regression hyperplane in terms of absolute deviations of the residuals and thus is helpful in identifying outliers. Asymptotics for a class of high breakdown point smoothed LMS estimators are derived here under a variety of conditions that allow for time series applications; joint limit processes for several smoothed estimators are examined. The limit process for the LMS estimator is represented via a generalized Gaussian process that defines the generalized derivative of the Wiener process.

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Asymptotic Theory for some High Breakdown Point Estimators

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