A  Generalized Two Phase Sampling Estimator of Ratio of Population Means Using Auxiliary Information

Tarunpreet Kaur  Ahuja; Peeyush  Misra; O. K.  Belwal

doi:10.13052/jrss0974-8024.1411

Tarunpreet Kaur Ahuja Department of Statistics, D.A.V.(P.G.) College, Dehradun-248001, Uttarakhand, India
Peeyush Misra Department of Statistics, D.A.V.(P.G.) College, Dehradun-248001, Uttarakhand, India
O. K. Belwal Department of Statistics, HNB Garhwal University, Srinagar-246174, Garhwal, Uttarakhand, India

DOI: https://doi.org/10.13052/jrss0974-8024.1411

Keywords: Auxiliary Character, Two-phase Sampling, Taylor’s Series, Bias, Mean Squared Error and Efficiency

Abstract

This paper addresses the problem of estimating ratio of two population means by using quantitative auxiliary knowledge in the form of first and second moments. Through this paper, an improved generalized two phase sampling estimator has been proposed. The relative bias and mean squared error of the suggested estimator has been derived and studied. Also, a comparative study with the conventional estimators has been included to establish its superiority. Besides theoretical comparisons, a subset of optimum estimators having the same minimum mean squared error (MSE) is also explored. An empirical study is also carried out to support theoretical results.

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Author Biographies

Tarunpreet Kaur Ahuja, Department of Statistics, D.A.V.(P.G.) College, Dehradun-248001, Uttarakhand, India

Tarunpreet Kaur Ahuja is a Research Scholar in Department of Statistics, D.A.V. (P.G) College, Dehradun, which is affiliated to Hemvati Nandan Bahuguna Garhwal University (A Central University), Srinagar, Uttarakhand. She has completed her B.Sc. (Physics, Mathematics & Statistics) degree in 2014 and M.Sc. in Statistics in 2016 from D.A.V. (P.G) College, Dehradun, Uttarakhand. She worked as an intern for Data Analytics team in Pitney Bowes, a commerce company in 2016. Her research interest is in the area of developing sampling theory and she has also published four research papers in different national and international journals of repute.

Peeyush Misra, Department of Statistics, D.A.V.(P.G.) College, Dehradun-248001, Uttarakhand, India

Peeyush Misra is working as an Associate Professor in Department of Statistics, D.A.V. (P.G) College, Dehradun, which is affiliated to Hemvati Nandan Bahuguna Garhwal University (A Central University), Srinagar, Uttarakhand. He has completed his Graduation, Post Graduation and PhD degree in Statistics from the University of Lucknow, Lucknow, Uttar Pradesh. He is contributing to the scientific field of Statistics mainly in the area of sampling theory. He has published more than sixty research papers in various national and international journals of repute. He has also successfully completed one research project sponsored by UGC.

O. K. Belwal, Department of Statistics, HNB Garhwal University, Srinagar-246174, Garhwal, Uttarakhand, India

O. K. Belwal is currently working as a Professor and Head of Department of Statistics, Hemvati Nandan Bahuguna Garhwal University (A Central University), Srinagar, Uttarakhand. He has contributed to the various fields of Statistics through many research publications in different national and international journals of repute. He has also successfully completed some research projects in the field of Statistics. He has also successfully organized some national seminars/conferences of repute. He has also supervised many research scholars.