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

Authors

  • 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

DOI:

https://doi.org/10.13052/jrss0974-8024.1317

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.

Downloads

Download data is not yet available.

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.

References

Al-Omari, A. I. (2012). Ratio estimation of the population mean using auxiliary information in simple random sampling and median ranked set sampling, Statistics and Probability Letters, 82, p. 1883–18890.

Bahl, S. and Tuteja, R.K. (1991). Ratio and product type exponential estimator, Information and Optimization Sciences, XII (I), p. 159–163.

Chakrabarty, R.P. (1979). Some ratio estimators, Journal of the Indian Society of Agricultural Statistics, 31(1), p. 49–57.

Cochran, W. G. (1940). The estimation of the yields of the cereal experiments by sampling for the ratio of grain to total produce, The Journal of Agric. Science, 30, p. 262–275.

Goodman, L. A. and Hartley, H.O. (1958).The precision of unbiased ratio-type estimators, Journal of the American Statistical Association, 53(282), p. 491–508.

Hartley, H.O. and Ross, A. (1954). Unbiased ratio estimators, Nature, August, 7, Vol. 174, p. 270–271.

Ijaz, M., and Ali, H. (2018). Some improved ratio estimators for estimating mean of finite population, Research and Reviews: Journal of Statistics and Mathematical Sciences, 4(2), 18–23.

Jerajuddin, M. and Kishun, J. (2016). Modified ratio estimators for population mean using size of the sample selected from population, IJSRSET, 2(2), p. 10–16.

Kadilar, C., and Cingi, H. (2003). A study on the chain ratio type estimator, Hacettepe Journal of Mathematics and Statistics, Vol. 32, p. 105–108.

Pandey, H., Yadav, S.K. and Shukla, A.K. (2011). An Improved General Class of Estimators, Estimating Population Mean using Auxiliary Information, International Journal of Statistics and Systems, Vol. 6(1), p. 1–7.

Quenouille, M. H. (1956). Notes on bias in estimation, Biometrika, 43, p. 353–60.

Sahai, A. and Ray, S.K. (1980). Efficient families of ratio and product type estimators, Biometrika, 67(1), p. 211–215.

Singh, G.N. (2003). On the improvement of product method of estimation in sample surveys. Jour. Ind. Soc. Agri. Statistics, 56(3), p. 267–275.

Singh, H. P., Tailor, R., Tailor, R. and Kakran, M. S. (2004): An improved estimator of population mean using power transformation, Journal of the Indian Society of Agricultural Statistics, 58(2), p. 223–230.

Singh, H.P. and Tailor, R. (2003). Use of known correlation coefficient in estimating the finite population mean, Statistics in Transition, 6(4), p. 555–560.

Sisodia, B.V.S. and Dwivedi, V.K. (1981). A modified ratio estimator using coefficient of variation of auxiliary variable, Journal of the Indian Society of Agricultural Statistics, 33, p. 13–18.

Soponviwatkal, K., and Lawson, N. (2017). New ratio estimators for estimating population mean in simple random sampling using a coefficient of variation, correlation coefficient and a regression coefficient, Gazi University Journal of Science, 30(4), p. 610–621.

Subramani, J. and Kumarapandiyan, G. (2012a). Modified ratio estimator for population mean using median of the auxiliary variable, Proceedings of National Conference on Recent developments in the applications of Reliability Theory and Survival Analysis “Application of Reliability Theory and Survival Analysis”, Bonfring Publisher, p. 224–231, ISBN:978-93-82338-25-3.

Subramani, J. and Kumarapandiyan, G. (2012b). Estimation of population mean using co-efficient of variation and median of an auxiliary variable. International Journal of Probability and Statistics, 1(4), p. 111–118.

Subramani, J. and Kumarapandiyan, G. (2012c): Modified ratio estimators for population mean using function of quartiles of auxiliary variable, Bonfring International Journal of Industrial Engineering and Management Science, 2(2), p. 19–23.

Sukhatme, P. V. and Sukhatme, B. V. (1970). Sample Theory of Surveys with Applications, Ames : Iowa State University Press.

Swain, A.K.P.C. (2014). On an improved ratio type estimator of finite population mean in sample surveys, Revista Investigacion Operacional, 35(1), p. 49–57.

Upadhyaya, L. N. and Singh, H. P. (1999). Use of transformed auxiliary variable in estimating the finite population mean, Biometrical Journal, 41(5), p. 627–636.

Watson, D.J. (1937). The estimation of leaf area in field crops, Jour. Agr. Sci., 27(3), p. 474–483.

Yadav, S.K. and Mishra, S.S. (2015). developing improved predictive estimator for finite population mean using auxiliary information, Statistika, 95(1), p. 76–85.

Yadav, S.K., Dixit, M. K., Dungana, H.N. and Mishra, S.S. (2019): Improved estimators for estimating average yield using auxiliary variable, International Journal of Mathematical, Engineering and Management Sciences, Vol. 4, No. 5, p. 1228–1238.

Yadav, S.K, Misra, S., Tiwari, V. and Shukla, A.K. (2010). Improved family of ratio-cum-dual to ratio estimators of finite population mean, IFRSA’s Int. Journal of Computing, 1(1), 17–23.

Yadav, S.K, Misra, S., Tiwari, V. and Shukla, A.K. (2014). Use of coefficient of skewness and quartile deviation of auxiliary variable for improved estimation of population mean, International Journal of Engineering Sciences and Research Technology, 3(1), p. 404–410.

Yan, Z. and Tian, B. (2010). Ratio method to the mean estimation using coefficient of skewness of auxiliary variable, ICICA, Part II, CCIS, 106, p. 103–110.

Downloads

Published

2020-10-18

How to Cite

Yadav, S. K. ., Baghel, S. ., Saxena, S. ., & Singh, A. K. . (2020). Estimation of Average Paddy Production of Pira Nagar Village at Barabanki District in India. Journal of Reliability and Statistical Studies, 13(01), 127–148. https://doi.org/10.13052/jrss0974-8024.1317

Issue

Section

Articles