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Multivariate Linear Regression Model with Elliptically Contoured Distributed Errors and Monotone Missing Dependent Variables
Authors:A Batsidis
Institution:Department of Mathematics , University of Ioannina , Ioannina, Greece
Abstract:In this article, the multivariate linear regression model is studied under the assumptions that the error term of this model is described by the elliptically contoured distribution and the observations on the response variables are of a monotone missing pattern. It is primarily concerned with estimation of the model parameters, as well as with the development of the likelihood ratio test in order to examine the existence of linear constraints on the regression coefficients. An illustrative example is presented for the explanation of the results.
Keywords:Consistency of estimators  Elliptically contoured distributions  Estimation  Generalized Wilk's distribution  Hypothesis testing  Monotone missing data  Multivariate linear regression analysis
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