Difference-Cum-Exponential Efficient Estimator of Population Variance

Abstract

In the current investigation, we have suggested a Difference Cum-Exponential Type Efficient Estimator of Population variance of the study variable using information on the auxiliary variable. Up to the first order of approximation, the proposed estimator's bias and mean square error (MSE) expressions are derived and suggested optimum estimator is also found, with its optimal qualities are investigated. The suggested estimator is proven to be more competent than sample variance, classic ratio estimators based on Isaki , Singh et al. and Kadilar and Cingi estimators in [1-3]. Numerical study is also carried out by using real data sets.

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].…”