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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749


Improved Estimators for Estimating Average Yield Using Auxiliary Variable

Improved Estimators for Estimating Average Yield Using Auxiliary Variable

S. K. Yadav
Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, U.P., India.

M. K. Dixit
Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, U.P., India.

H. N. Dungana
School of Mathematical Sciences, University of Technology Sydney, Ultimo NSW 2007, Australia.

S. S. Mishra
Department of Mathematics and Statistics (Centre of Excellence), Dr. Rammanohar Lohia Avadh University, Ayodhya-224001, U.P., India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.5-097

Received on January 20, 2019
  ;
Accepted on May 21, 2019

Abstract

In this paper, we consider the improved estimation of average production of peppermint at block level of Barabanki district of Uttar Pradesh State (India). We suggest certain estimators for population-mean. Here, population refers to production population as study variable and auxiliary-variable refers to Area of field. We study the sampling properties naming bias and MSE of estimators, which are presently proposed by us in the paper. We compare our proposed estimators with other ones existing in literature. For the support of the theoretical findings, we carry out a numerical study for the natural population on primary data collected from Banikodar Block of Barabanki District situated in Uttar Pradesh State.

Keywords- Population variable, Auxiliary variable, Ratio-estimator, MSE, PRE.

Citation

Yadav, S. K., Dixit, M. K., Dungana, H. N., & Mishra, S. S. (2019). Improved Estimators for Estimating Average Yield Using Auxiliary Variable. International Journal of Mathematical, Engineering and Management Sciences, 4(5), 1228-1238. https://dx.doi.org/10.33889/IJMEMS.2019.4.5-097.

Conflict of Interest

It is declared by the authors that there is no conflict of interests regarding the publication of this paper.

Acknowledgements

The authors are very much thankful to referees for critically reviewing the draft which improved the present version. The first author Dr. S. K. Yadav (PI) is thankful to Council of Science and Technology, Uttar Pradesh, Lucknow for the financial assistance in carrying out this research under the Project No. CST/4052.

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