A General Class of Dual to Ratio Estimator

Abstract

In this paper we have considered the problem of estimating the population mean using auxiliary information in sample surveys. A class of dual to ratio estimators has been defined. Exact expressions for bias and mean squared error of the suggested class of dual to ratio estimator have been obtained. In particular, properties of some members of the proposed class of dual to ratio estimators have been discussed. It has been shown that the proposed class of estimators is more efficient than the sample mean, ratio estimator, dual to ratio estimator and some members of the suggested class of estimators in some realistic conditions. Some numerical illustrations are given in support of the present study.

A Modified Class of Dual to Ratio-Type Estimators for Estimating the Population Variance Under Simple Random Sampling Scheme and Its Application to Real Data

“…In the papers [2][3][4][5][6][7][8][9][10][11] some authors have contributed extensively to the literature. Further work has been done by Singh and Nigam in [12] Recently, work performed on Enhanced estimators of population variance with the use of supplementary information in survey sampling and logarithmic type predictive estimators under simple random sampling [18][19] and Difference-cum-exponential efficient estimator for estimation population variance done by [20].…”