This paper introduces some new ratio- and difference-type estimators of the population variance in the presence of random non-response based on Searls (The utilization of a known coefficient of variation in the estimation procedure. J Am Stat Asso. 1964;59:1225–1226) philosophy. The proposed ratio- and difference-type estimators remain better than the estimators obtained by Ahmeda et al. (Estimation of finite population variance in presence of random non-response using auxiliary variables. Infr Mang Sci. 2005;16(2):73–82) in the presence of random non-response using auxiliary variables. The properties (bias and mean square error) of the proposed estimators presented were derived up to the first-order approximation using the Taylor series approach. Conditions for which the new estimators more efficient than other estimators considered in the study were also established. Numerical examples were conducted, and the results revealed that the proposed class of estimators is more efficient than existing estimators.

本文介绍了一些基于 Searls 的在存在随机不响应的情况下总体方差的新比率型和差异型估计量（估计过程中已知变异系数的利用。J Am Stat Asso. 1964;59： 1225-1226）哲学。提出的比率型和差异型估计量仍然优于 Ahmeda 等人获得的估计量。（使用辅助变量在存在随机不响应的情况下估计有限总体方差。Infr Mang Sci. 2005;16(2):73-82）在使用辅助变量存在随机不响应的情况下。所提出的估计量的属性（偏差和均方误差）是使用泰勒级数方法导出到一阶近似值的。还建立了新估计量比研究中考虑的其他估计量更有效的条件。进行了数值示例，结果表明，所提出的一类估计量比现有的估计量更有效。