A Generalized Class of Estimators for Finite Population Mean Using Two Auxiliary Variables in Sample Surveys

Authors

  • Housila Prasad Singh School of Studies in Statistics, Vikram University, Ujjain-456010, M.P., India
  • Pragati Nigam Faculty of Agricultural Sciences, Mandsaur University, Mandsaur, M.P., India

DOI:

https://doi.org/10.13052/jrss0974-8024.1514

Keywords:

Auxiliary variable, study variable, bias, mean squared error, simple random sampling, stratified random sampling

Abstract

In this paper we have suggested a generalized class of estimators for estimating the finite population mean ˉY of the study variable y using information on two auxiliary variables x and z. We have studied the properties of the proposed generalized class of estimators in simple random sampling without replacement scheme and in stratified random sampling up to the first order of approximation. It is shown that the suggested class of estimators is more efficient than the conventional unbiased estimator, ratio estimator, product estimator, traditional difference estimator, Srivastava (1967) estimator, Ray et al. (1979) estimator, Vos (1980) estimator, Upadhyaya et al. (1985) estimator, Rao (1991) estimator and Gupta and Shabbir (2008) estimator. Theoretical results are well supported through an empirical study.

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Author Biographies

Housila Prasad Singh, School of Studies in Statistics, Vikram University, Ujjain-456010, M.P., India

Housila Prasad Singh, born on 08/09/1957 in a village of Varanasi district of Uttar Pradesh. He did his M.Sc. (Statistics) in 1979 from Banaras Hindu University, Varanasi, U.P.. He obtained his M.Phil. (Applied Mathematics) in 1981 and Ph.D. (Applied Statistics) in 1985 from Indian School of Mines, Dhanbad, Bihar (Now Indian Institute of Technology, Dhanbad, Jharkhand). Currently he is a professor of Statistics, Vikram University, Ujjain, M.P.. He has 37 years of teaching experience and 41 years of research experience. He has been Head, School of Studies in Statistics, Dean, Faculty of Science and Executive Council Member of Vikram University, Ujjain, M.P. He has guided many students for their M.Sc. (02), M.Phil (18) and Ph.D. (23) degrees. He has been visiting scientist at University of Windsor, Windsor, Canada. He has published more than 510 research papers in journals of national and international repute. One of his research papers submitted for the award of “Dr. Radha Krishnan Samman 1992” has been appreciated by valuers. He has been awarded ‘Best Scientist Research Publication’ award (2009–10) and Out Standing Research Faculty by research faculty awards by Careers 360 as “One of the 10 Knowledge Producers in India” for academic year 2017–18. He has written two book reviews out of them one is published in Computational Statistics and Data Analysis (2000) and the other one in the Journal of Royal Statistical Society, Sr. A (2006). He is also the author of the Book “Randomness and Optimal Estimation in Data Sampling”, American Research Press, Rehoboth, USA. His area of research interest is Sampling Theory and Statistical Inference. Google Scholar (Citations by this date) is Citations-5653, h-index-35 and i10-index-134.

Pragati Nigam, Faculty of Agricultural Sciences, Mandsaur University, Mandsaur, M.P., India

Pragati Nigam, born on 27/11/1992 in Ujjain, M.P. She did her M.Sc. (Statistics) in 2015 (achieved II rank in the University) and Ph.D. (Statistics) in 2021 under the guidance of Prof. H. P. Singh, from School of Studies in Statistics, Vikram University, Ujjain. Presently she is working as Assistant Professor of Statistics at Faculty of Agricultural Sciences, Mandsaur University, Mandsaur. Dr. Pragati published 5 research papers and 1 book chapter (MKSES Publications) in national and international journals of repute.

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Published

2022-02-15

How to Cite

Singh, H. P. ., & Nigam, P. . (2022). A Generalized Class of Estimators for Finite Population Mean Using Two Auxiliary Variables in Sample Surveys. Journal of Reliability and Statistical Studies, 15(01), 61–104. https://doi.org/10.13052/jrss0974-8024.1514

Issue

2022: Vol 15 Iss 1

Section

Articles