Estimation of Average Paddy Production of Pira Nagar Village at Barabanki District in India

  • S. K. Yadav Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India
  • Shanya Baghel Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India
  • Sugandha Saxena Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India
  • Avinash Kumar Singh Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India
Keywords: Study variable, median of study variable, simple random sampling, bias, MSE, PRE

Abstract

The idea of the present paper is the use of the known information on study variable for enhanced estimation of average paddy production of Pira Nagar village at Barabanki District in India under the Simple Random Sampling Scheme. This known information is utilzed in the form of median of primary variable as it is readily available and does not require every unit of the population to be inquired. The Bias and MSE of the suggested estimator are derived up to approximation of degree one.The minimum value of the MSE of suggested estimator is also obtained by optimizing the characterizing scalar. The MSE has also been compared with the considered competing estimators both theoretically and empirically. The theoretical efficiency conditions of the suggested estimator to be better than the considered estimators are verified using natural population on primary data collected from Pira Nagar Village at Barabanki District of Uttar Pradesh state in India.

Author Biographies

S. K. Yadav, Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India

S. K. Yadav is a faculty in the Department of Statistics at Babasaheb Bhimrao Ambedkar University Lucknow, U.P., India. He earned his M.Sc. and Ph.D. degrees in Statistics from Lucknow University and qualified the National Eligibility Test. Dr. Yadav has published more than 40 research papers in national and international journals of repute indexed in Scopus/Web of science and two books from an international publisher. He is a referee for 20 reputed international journals. He has been awarded Young Scientist Award in 2016 for the contribution in the field survey sampling by Venus International Research Foundation, Chennai, India and best paper award in 2018 by MTMI, USA. He has presented papers in more than 20 national and international conferences and also delivered 18 invited talks in several conferences.

Shanya Baghel, Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India

Shanya Baghel is pursuing her Ph.D in IIT(ISM) Dhanbad, Department of Mathematics and Computing as a JRF. She has completed her M.Phil. from Babasaheb Bhimrao Ambedkar University (BBAU), Lucknow, in 2020. She received her M.Sc. degree in Applied Statistics from BBAU, Lucknow in 2018. She attended University of Lucknow, India and received her B.Sc. in 2016. Her M.Phil work centers on Estimation of Population Mean using known Auxiliary Variable.

Sugandha Saxena, Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India

Sugandha Saxena is a postgraduate from Babasaheb Bhimrao Ambedkar University. She is an alumna of City Montessori School, Lucknow, India. She received a B.Sc. degree in Statistics and Mathematics from Mahila P.G. College, University of Lucknow. She completed her M.Sc. in Applied Statistics from Babasaheb Bhimrao Ambedkar University, Lucknow.

Avinash Kumar Singh, Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India

Avinash Kumar Singh received his M.Sc. degree in Applied Statistics form Babasaheb Bhimrao Ambedkar University, Lucknow, India. He attended the University of Lucknow, India and received his B.Sc. in Physics, Mathematics and Statistics.

Published
2020-10-18
Section
Articles