Exponential Estimators for Population Mean Using the Transformed Auxiliary Variables

Authors

Rahana Rashid, National College of Business Administration and Economics, Lahore, Pakistan.Follow
Muhammad Noor ul Amin, COMSATS Institute of Information Technology, Lahore, Pakistan.Follow
Muhammad Hanif, National College of Business Administration and Economics, Lahore, Pakistan.Follow

Author Country (or Countries)

Pakistan.

Abstract

This paper deals with exponential ratio-cum-ratio and product-cum-product type estimators using transformed auxiliary variables under simple random sampling without replacement. The proposed estimators are useful for estimating the finite population mean. The development of estimators is based on the information of two transformed auxiliary variables. The generalized form of the proposed estimator has been developed and the special cases are discussed. The bias and mean square error expressions of the proposed estimators are derived up to the first order of approximation. An empirical study has been carried out to compare the efficiency of proposed estimators with some available estimators in literature. An improvement has been reflected in terms of mean square error (MSE).

Recommended Citation

Rashid, Rahana; Noor ul Amin, Muhammad; and Hanif, Muhammad (2015) "Exponential Estimators for Population Mean Using the Transformed Auxiliary Variables," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 50.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/50