ESTIMATORS FOR POPULATION VARIANCE USING AUXILIARY INFORMATION ON QUARTILE

Abstract

This paper suggests the generalized class of estimators, motivated by Sharma and Singh (2015), of finite population variance utilizing the known value of parameters related to an auxiliary variable such as quartile and its properties are studied in simple random sampling without replacement. The efficiency of proposed class of estimators is compared with some existing estimators discussed in literature and found that proposed generalized class of estimators is better than other existing estimators including usual unbiased estimator, estimators due to Isaki (1983), Das and Tripathi (1978) and estimators recently proposed by Singh and Pal (2016). An empirical as well as theoretical comparison is carried out to judge the performance of proposed class of estimators over other existing estimators of population variance using natural data set.