Assessing local influence for elliptical linear models under equality constraints. Issue 15 (2nd August 2016)

• Record Type: Journal Article
• Authors: Yang, Hu; Yang, Lian
• Is Part Of: Communications in statistics. Volume 45:Issue 15(2016)
• Page Start: 4517
• Page End: 4527
• Publication Date: 2016-08-02
• Subjects: Elliptical linear models -- Equality constraints -- Likelihood displacement -- Local influence; 62J05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2013.773351
• Languages: English
• ISSNs: 0361-0926

Abstract

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.