In this article, we study the situation of observations whose ranks cannot be determined for the auxiliary variable in the Ranked Set Sampling (RSS) method. Therefore, we examine the case of tie information for ratio estimators of the population mean. We propose a new exponential ratio estimator using the modified isotonic estimator for this situation. Simulation results show that the proposed estimator is more efficient than the other estimators in literature. In addition, when we examine the recent COVID-19 pandemic situation, we see that the data is suitable for this structure. We can also see from the real data that the proposed estimator gives better results.

在本文中，我们研究了在等级集抽样（RSS）方法中无法确定辅助变量等级的观测情况。因此，我们针对总体均值的比率估计器研究平局信息的情况。针对这种情况，我们提出了一种使用改进的等张估计器的新指数比估计器。仿真结果表明，所提出的估计器比文献中的其他估计器更有效。此外，当我们检查最近的COVID-19大流行情况时，我们发现该数据适用于此结构。我们还可以从实际数据中看出，所提出的估算器可提供更好的结果。