Families of Estimators for Estimating Mean Using Information of Auxiliary Variate Under Response and Non-Response

  • R. R Sinha Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, India
  • Bharti  Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, India
Keywords: Non-response, bias, mean square error, rank, auxiliary variate

Abstract

This research article is concerned with the efficiency improvement of estimators for finite population mean under complete and incomplete information rising as a result of non-response. Different families of estimators for estimating the mean of study variate via known population mean, proportion and rank of auxiliary variate under different situations are proposed along with their bias and mean square error (MSE). Optimum conditions are suggested to attain minimum mean square error of proposed families of estimators. Further the problem is extended for the situation of unknown parameters of auxiliary variate and two phase sampling families of estimators are suggested along with their properties under fixed cost and precision. Employing real data sets, theoretical and empirical comparisons are executed to explain the efficiency of the proposed families of estimators.

Author Biographies

R. R Sinha, Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, India

R. R. Sinha is an Assistant Professor in the Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, India and obtained his Ph. D. Degree in “Sampling Techniques” from the Department of Statistics, Banaras Hindu University, Varanasi, India in 2001. He has guided one Ph. D. and three M. Phil. candidates. He has life membership of Indian Statistical Association and International Indian Statistical Association. Dr. Sinha has published more than 25 research papers in international/national journals and conferences and presented more than 22 research papers in international/national conferences. His area of specialization is Sampling Theory, Data Analysis and Inference. ORCID identifier number of Dr. R. R. Sinha is 0000-0001-6386-1973.

Bharti , Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, India

Bharti is a Ph. D. student at Dr. B. R. Ambedkar National Institute of Technology, Jalandhar since 2018. She has done her B.Sc. in Computer Science in 2015 from DAV College, Jalandhar (GNDU) and completed her M.Sc. in Mathematics in 2017 from DAV College, Jalandhar (GNDU). She has one year of teaching experience. Bharti is pursuing her doctoral degree in Mathematics at Dr. B. R. Ambedkar, National Institute of Technology, Jalandhar. Her doctoral degree is on Estimation of Parameters using Auxiliary Character under Complete and Incomplete Information.

Published
2020-10-08
Section
Articles