Survey statisticians celebrate golden jubilee year 2003 of the linear regression estimator

Abstract

In the present investigation, a general set-up for inference from survey data that covers the estimation of variance of estimators of totals and distribution functions has been considered, using known first and second order moments of auxiliary information at the estimation stage. The traditional linear regression estimator of population total owed to Hansen et al. Sample survey methods and theory. vol. 1 & 2, New York, Wiley (1953) is shown to be unique in its class of estimators, and celebrates Golden Jubilee Year-2003 for its outstanding performance in the literature by following Singh Advanced sampling theory with applications: How Michael selected Amy, vols 1 & 2, Kluwer, The Netherlands, pp 1–1247 2003. This particular paper has been designed to repair the methodology of Rao J. Off Stat 10(2):153–165 (1994) and hence that of Singh Ann Ins Stat Math 53(2):404–417 (2001). Although there is no need of simulation study to demonstrate the superiority of the proposed technique, because the theoretical results are crystal clear, but a small scale level simulation study have been designed to show the performance of the proposed estimators over the existing estimators in the literature.