Author(s):
1. Atta Ullah:
University of Malakand,Khyber Pakhtunkhwa,Pakistan
2. Muhammad Azeem:
University of Malakand,Khyber Pakhtunkhwa,Pakistan
3. Habib Ullah Khan:
University of Malakand,Khyber Pakhtunkhwa,Pakistan
Abstract:
Effective planning in the present period depends more and more on statistical methods to estimate different aspects of the populations being studied. Utilizing the amount of information obtained from sample data, we can make efficient estimations about population parameters using one or more auxiliary variables that are correlated with the study variable. In situations where each population unit is equally important, the conventional equal probability sampling designs are employed. If the population units have varying probabilities of selection, unequal probability sampling is used. In this study, an improved exponential ratio type estimator is presented under unequal probability sampling. We present some practical applications and also obtain the approximate algebraic equations for the mean square error. Out analysis suggests that our suggested estimator achieves smaller mean square error compared to its competitor estimators. Empirical comparisons between the proposed and competitor estimators are provided. Examples of real-world data are also provided to demonstrate the enhancement over the competitor estimators.
Page(s):
191-191
DOI:
DOI not available
Published:
Journal: 4th International Conference of Sciences “Revamped Scientific Outlook of 21st Century, 2025” , November 12,2025, Volume: 1, Issue: 1, Year: 2025
Keywords:
Auxiliary Variable
,
bias
,
Population Mean
,
Efficient Estimator
,
PPS Sampling
References:
References are not available for this document.
Citations
Citations are not available for this document.