### Linear combination of estimators in probability proportional to sizes sampling to estimate the population

AGARWAL, SATISH KUMAR; Department Of Mathematics-College Of Science-University Of Bahrain & AL MANNAI, MARIAM; Department Of Mathematics-College Of Science-University Of Bahrain
In this paper we have studied the gain of efficiency and the relative bias of linear weighted estimators over conventional estimators under probability proportional to size with replacement (ppswr) sampling for a wide variety of populations. The five number summary statistics for the relative bias and the relative efficiency over conventional estimators is given for different magnitude of correlation coefficients. The computational study shows that there is a considerable gain in the efficiency of linear...