Some Median Type Estimators to Estimate the Finite Population Mean
Waqar Hafeez *
School of Quantitative Sciences, Universiti Utara Malaysia, Malaysia.
Javid Shabbir
Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan.
Muhammad Taqi Shah
Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan.
Shakeel Ahmed
Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan.
*Author to whom correspondence should be addressed.
Abstract
Researchers always appreciates estimators of finite population quantities, especially mean, with maximum efficiency for reaching to valid statistical inference. Apart from ratio, product and regression estimators, exponential estimators are widely considered by survey statisticians. Motivated from the idea of exponential type estimators, in this article, we propose some new estimators utilizing known median of the study variable with mean of auxiliary variable. Theoretical properties of the suggested estimators are studied up to first order of approximation. In addition, an empirical and simulation study the comparison of median based proposed class of estimators with sample mean, ratio and linear regression estimators are discussed. The results expose that the proposed estimators are more efficient than the existing estimators.
Keywords: Bias, efficiency, mean, median, exponential estimators