Assessing local influence for elliptical linear models under equality constraints

Abstract

In this article, we study the local influence for the elliptical linear regression model under equality constraints. We first obtain the parameter estimators of this model using the penalized log-likelihood function and iterative techniques. Then we obtain the diagnostics under the perturbations of constant variance, responses, and explanatory variables in the spirit of Cook (1986). Finally, a numerical example on the data set of the salinity of water is given to illustrate the theoretical results.