Calibration Estimation of Cumulative Distribution Function Using Robust Measures

Outliers are observations that significantly different from the other in a dataset. These types of asymmetric nature due to lack symmetry. The estimation cumulative distribution function (CDF) is an important statistical measure commonly discussed for symmetric datasets. However, CDF case dataset not much-explored topic. In this article, we use calibration methodology with auxiliary information modifying traditional stratification weight, and hence, obtain efficient estimates using robust measures, i.e., mid-range tri-mean, under distance functions. A simulation study carried out see performance proposed existing estimators real-life