The Calibration of Horvitz-Thompson Variance Estimator under the Unit Nonresponse

When an auxiliary information is population total and variance of auxiliary variable, we use them to adjust the weight of variance estimator in case of calibration for the variance of estimator. However, this method has some disadvantage that the variance form will be transferred to the YG variance and it may be negative value and it must be known the population variance of auxiliary variable. To overcome this limitation, we consider the HT variance form to calibrate the variance weight. In this paper we consider the calibration of HT variance estimator of the weighting adjusted population total by calibration procedure using the square and cross product of the auxiliary informations under the unit nonresponse situation. We compare the efficiency of the proposed calibration variance estimator with that of YG by simulation study.