The present note addresses the problem of estimation of population mean in the presence of non response. We have proposed the difference and ratio type estimators in two distinct situations of non response using the dual of an auxiliary variable. Some conventional estimators like mean, ratio, product, power transformation, regression, difference, and some other difference type estimators are the special cases of the proposed estimators apart from being less efficient than proposed estimators in the respective situations.The present work can be considered as the efficient extension of a recent work that is based on the dual use of auxiliary information. The theoretical results are obtained under large sample approximation. A comparative study based on real and simulated data is conducted where the results are quite encouraging, providing the improvement over all the discussed works.

本说明解决了在无响应的情况下估计总体均值的问题。我们使用辅助变量的对偶，在两种不同的无响应情况下提出了差值和比率类型估计器。一些常规的估计器，例如均值，比率，乘积，幂变换，回归，差和其他一些差值类型的估计器，是拟议的估计器的特例，除了在各种情况下效率不如拟议的估计器外，可以考虑本工作。作为对基于辅助信息双重使用的最新工作的有效扩展。理论结果是在大样本近似下获得的。进行了基于真实和模拟数据的比较研究，结果令人鼓舞，