Improved Estimation Procedure for Population Coefficient of Variation Using Calibrated Weights under Stratified Successive Sampling in the Presence of Non-Response and Measurement Errors

Pandey, M. K.; Singh, G. N.; Bandyopadhyay, A.

doi:10.24200/sci.2024.63180.8276

Improved Estimation Procedure for Population Coefficient of Variation Using Calibrated Weights under Stratified Successive Sampling in the Presence of Non-Response and Measurement Errors

Articles in Press

Document Type : Research Article

Authors

M. K. Pandey ¹

G. N. Singh ¹

A. Bandyopadhyay ²

¹ Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad- 826004, India

² Department of Mathematics, Asansol Engineering College, Asansol, West Bengal, India

10.24200/sci.2024.63180.8276

Abstract

In this paper, we introduce estimators for the population coefficient of variation within a two-occasion, stratified, successive sampling framework, aiming to mitigate the impact of non-response and measurement errors. We derive calibrated weights for the strata and thoroughly examine the properties of the proposed estimator through comprehensive numerical and simulation studies. Furthermore, we provide valuable recommendations for survey statisticians, guiding them on effective applications in real-world survey scenarios. By addressing the challenges of non-response and measurement errors within a stratified sampling approach, our proposed estimators aim to enhance the accuracy and precision of coefficient of variation estimates, ensuring more precise and accurate results.

Keywords

Two-occasion stratified successive sampling

coefficient of variation

calibration technique

bias

mean square error

random non-response

measurement error

Subjects