A mixture of linear and exponential function-based estimators of population mean accounting for non-response and measurement error | [Pakistan Journal of Statistics • 2023]

Author(s):

1. Uzma Iqbal: Department of Statistics, National College of Business Administration and Economics, Lahore, Pakistan

2. Iram Saleem: Department of Statistics, Forman Christian College, (A Chartered University),Lahore,Pakistan

3. Aamir Sanaullah: Department of Statistics, COMSATS University Islamabad, Lahore Campus,,Pakistan

4. Muhammad Hanif: Department of Statistics, National College of Business Administration and Economics, Lahore, Pakistan

Abstract:

This paper introduces a novel approach for estimating the population mean in stratified sampling while accounting for non-response and measurement error. We propose a regression-cum-exponential estimator, which combines regression and exponential functions to estimate the population mean. This estimator is compared to other modified usual estimators commonly used in stratified sampling such as regression, ratio, and exponential estimators. This present article provides the expressions for the bias and means square error of the proposed estimator, considering the joint influence of non-response and measurement error. The theoretical comparisons between the proposed estimators and the existing ones to evaluate their respective performances. To further access the efficiency of the proposed estimators a simulation study is conducted. The results of the study indicate that the regression-cum-exponential estimator and its class of estimators outperform the existing estimators when dealing with the joint influence of nonresponse and measurement error. Overall, the paper introduces a novel approach to address the challenges of estimating population mean in stratified sampling while soldiering nonresponse and measurement error, The proposed estimators outperform existing methods in the presence of these factors, providing valuable insights for researchers and practitioners working with survey data.

Page(s): 517-536

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 39, Issue: 4, Year: 2023

Keywords:

bias , mean square error , Stratified sampling , NonResponse , auxiliary information , Measurement error

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