The Generalized Multivariate Difference Estimator (GMDe)

The Generalized Multivariate Difference estimator (GMDe) is a simple, robust, model-based method for complex sample surveys with high dimensions. GMDe improves population estimates for study variables, which serve the analysis objectives, using population estimates for auxiliary variables that are well correlated with the study variables. GMDe is a multivariate generalization of the long neglected class of difference estimators. It is a type of composite estimator that weights population estimates rather than sampling units. GMDe is a multivariate alternative to the conventional mixed estimator, calibration estimator, and regression estimator, e.g., GREG