Generalized multivariate regression estimators for multi-phase sampling using multi-auxiliary variables

In this paper we propose a number of generalized multivariate regression estimators for two-phase and multi-phase sampling in the presence of multi-auxiliary variables for estimating population mean for a single variable and a vector of variables of interest(s). the expressions for mean square errors have also been derived. the suggested estimators have been theoretically compared and an empirical study has also been conducted. © 2010 pakistan journal of statistics.