Memory Type Ratio and Product Estimators in Stratified Sampling

  • Irfan Aslam National College of Business Administration and Economics, Lahore, Pakistan
  • Muhammad Noor-ul-Amin COMSATS University Islamabad-Lahore Campus, Pakistan
  • Uzma Yasmeen University of Lahore, Pakistan
  • Muhammad Hanif National College of Business Administration and Economics, Lahore, Pakistan
Keywords: Stratified sampling, memory type, EWMA, ratio estimator, product estimator

Abstract

The exponential weighted moving average (EWMA) statistic is utilized the past information along with the present to enhance the efficiency of the estimators of the population parameters. In this study, the EWMA statistic is used to estimate the population mean with auxiliary information. The memory type ratio and product estimators are proposed under stratified sampling (StS). Mean square errors (MSE) expressions and relative efficiencies of the proposed estimators are derived. An extensive simulation study is conducted to evaluate the performance of the proposed estimators. An empirical study is presented based on real-life data that supports the findings of the simulation study.

Author Biographies

Irfan Aslam, National College of Business Administration and Economics, Lahore, Pakistan

Irfan Aslam is a Ph.D. student at the National College of Business Administration & Economics (NCBA&E), Lahore, Pakistan. He did his M.Phil from Govt. College University, Lahore and earned his M.Sc. degree from the University of the Punjab, Lahore. He is currently working as an Assistant professor of Statistics at Govt. Islamia College, Railway Road, Lahore. His research interests include sampling techniques and multivariate data analysis.

Muhammad Noor-ul-Amin, COMSATS University Islamabad-Lahore Campus, Pakistan

Muhammad Noor-ul-Amin received his Ph.D. degree from NCBA&E, Lahore, Pakistan. He has working experience in various universities for teaching and research that includes the Virtual University of Pakistan, University of Sargodha, Pakistan, and the University of Burgundy, France. He is currently working as an Assistant professor at COMSATS University Islamabad-Lahore Campus. His research interests include sampling techniques and control charting techniques. He is an HEC approved supervisor.

Uzma Yasmeen, University of Lahore, Pakistan

Uzma Yasmeen is a Ph.D. from the National College of Business Administration & Economics, Lahore, Pakistan. She has worked at the University of Waterloo and COMSATS University Islamabad. Currently, she is working as an Assistant professor at the University of Lahore, Lahore Campus. Her research interest is sampling methods.

Muhammad Hanif, National College of Business Administration and Economics, Lahore, Pakistan

Muhammad Hanif completed his Master’s degree from New South Wales University, Australia in Multistage Cluster Sampling. He completed his Ph.D. in Statistics from the University of Punjab, Lahore, Pakistan. He has more than 40 years of research experience. He is an author of more than 200 research papers and 10 books. He has served as a Professor in various parts of the world i.e. Australia, Libya, Saudi Arabia, and Pakistan. He is presently a Professor of Statistics and Vice-Rector (Research) at NCBA & E, Lahore, Pakistan.

Published
2020-10-08
Section
Articles