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Huber, P.J. (1973) Robust Regression: Asymptotics, Conjectures and Monte Carlo. Annals of Statistics, 1, 799-821. http://dx.doi.org/10.1214/aos/1176342503

has been cited by the following article:

  • TITLE: Robust Regression Diagnostics of Influential Observations in Linear Regression Model

    AUTHORS: Kayode Ayinde, Adewale F. Lukman, Olatunji Arowolo

    KEYWORDS: DFFITS, Cook’s D, DFBETAS, OLS, RMSE

    JOURNAL NAME: Open Journal of Statistics, Vol.5 No.4, June 3, 2015

    ABSTRACT: In regression analysis, data sets often contain unusual observations called outliers. Detecting these unusual observations is an important aspect of model building in that they have to be diagnosed so as to ascertain whether they are influential or not. Different influential statistics including Cook’s Distance, Welsch-Kuh distance and DFBETAS have been proposed. Based on these influential statistics, the use of some robust estimators MM, Least trimmed square (LTS) and S is proposed and considered as alternative to influential statistics based on the robust estimator M and the ordinary least square (OLS). The statistics based on these estimators were applied into three set of data and the root mean square error (RMSE) was used as a criterion to compare the estimators. Generally, influential measures are mostly efficient with M or MM robust estimators.