On calibration of design weights

In the present investigation, we build a bridge between the generalized regression (GREG) estimator due to Deville and Sarndal (1992) and the linear regression estimator due to Hansen, Hurwitz and Madow (1953) in the presence of single auxiliary variable. The bridge confirms that the sum of calibrated weights should be equal to sum of design weights as pointed out by Singh (2003, 2004, 2006) and Stearns and Singh (2008). An important modification in the statistical packages such as GES, SUDAAN etc. has been suggested.