Cosmetic calibration with weighted observations

In this paper,different cosmetic estimators are obtained,by using different individual weights for auxiliary-variable’s observations that are still unexplored,and a simulation study is conducted to assess their performance. the results show that these weights are helpful in reducing heteroskedasticity,resulting in minimum sse and therefore,may be considered as an alternative of linear transformations. furthermore,it is shown that by using these weights in linear calibration approach,generated calibration estimators are equivalent to those produced by the instrumental approach. © 2016 pakistan journal of statistics.