IJMEMES logo

International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749 . Open Access


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.