An exponential family of median based estimators for mean estimation with simple random sampling scheme

Recently, Irfan et al. developed ratio-type estimators for population mean estimation with simple random sampling (SRS) scheme, based on known median of a study variable and an auxiliary (supplementary) variable. In this study, adapting the structure of Koyuncu, we propose a new class of exponential-type estimators, based on the known median of study variable with the SRS scheme. The theoretical mean square error (MSE) expressions of the new proposals up to the first order of approximation are determined. A numerical study is done in support of the present work by finding percentage gain in efficiency with the graphical presentation of MSE results.