New unbiased estimators outperform traditional methods in linear regression analysis.
A new family of unbiased modified linear regression estimators has been developed. These estimators have been shown to outperform traditional ratio estimators and existing modified ratio estimators under certain conditions. The proposed estimators encompass the classical ratio estimator, existing modified ratio estimators, and usual linear regression estimator as special cases. Numerical studies confirm that the new estimators perform better than traditional methods.