ON RATIO ESTIMATION USING AUXILIARY INFORMATION IN SURVEY SAMPLING

T.A. RAJA¹*, S. MAQBOOL², M. SUBZAR^3
1Division of Agricultural Statistics & Economics, Faculty of Agriculture, Wadura, Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir, Shalimar, 190025, India
²Division of Agricultural Statistics & Economics, Faculty of Agriculture, Wadura, Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir, Shalimar, 190025, India
³Division of Agricultural Statistics & Economics, Faculty of Agriculture, Wadura, Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir, Shalimar, 190025, India
* Corresponding Author : tariqaraja@rediffmail.com

Received : 03-02-2023     Accepted : 26-02-2023     Published : 28-02-2023
Volume : 15     Issue : 2       Pages : 12199 - 12203
Int J Agr Sci 15.2 (2023):12199-12203

Keywords : Non-Conventional Parameters, Ratio estimators, MSE, Efficiency
Conflict of Interest : None declared
Acknowledgements/Funding : Authors are thankful to Division of Agricultural Statistics & Economics, Faculty of Agriculture, Wadura, Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir, Shalimar, 190025, India
Author Contribution : All authors equally contributed

The study was undertaken to propose new reformed ratio estimators for estimating population mean utilizing the auxiliary information of non-conventional location parameters such as Tri-Mean, Mid-Range Hodges-Lehmann with coefficient of kurtosis and coefficient of skewness in simple random sampling. The features of proposed estimators are assessed by mean square error and bias. For practical demonstration a numerical illustration was provided, which endorses that proposed estimators in this study are also efficient in line with the existing estimators

1. Cochran W. G. (1977) Sampling Techniques, John Wiley and Sons, New York.
2. Cochran W. G. (1940) Journal of Agricultural Science, 30, 262-275.
3. Kadilar C. and Cingi H. (2004) Applied Mathematics and Computation, 151, 893-902.
4. Kadilar C. and Cingi H. (2006) Hacettepe Journal of Mathematics and Statistics, 35, 103-109.
5. Koyuncu N. and Kadilar C. (2009) Hacettepe Journal of Mathematics and Statistics, 38, 217-225.
6. Murthy M. N. (1967) Sampling theory and methods, Statistical Publishing Society, Calcutta, India.
7. Prasad B. (1989) Communications in Statistics: Theory and Methods, 18, 379-392.
8. Rao T.J. (1991) Communications in Statistics: Theory and Methods, 20(10), 3325-3340.
9. Singh H.P. and Tailor R. (2003) Statistics in Transition new series, 6 (4), 555-560.
10. Singh G.N. (2003) Journal of the Indian Society of Agricultural Statistics, 56 (3), 267-265.
11. Singh H.P., Tailor R., Tailor R. and Kakran M. S. (2004) Journal of the Indian Society of Agricultural Statistics, 58(2), 223-230.
12. Sisodia B.V.S. and Dwivedi V. K. (1981) Journal of the Indian Society of Agricultural Statistics, 33(1), 13-18.
13. Upadhyaya L.N. and Singh H.P. (1999) Biometrical Journal, 41(5), 627-636.
14. Robson D. S. (1957) Journal of American Statistical Association, 52, 411-422.
15. Yan Z. and Tian B. (2010) ICICA, Part II, CCIS, 106, 103-110.
16. Subramani J. and Kumarapandiyan G. (2012) International Journal of Statistical Application, 2, 101-107.
17. Subzar M., Raja T.A., Maqbool S. and Nazir N. (2016) International Journal of Agricultural Statistical Sciences, 12(1), 221-225.
18. Subzar M., Abid M., Maqbool S., Raja T.A., Shabeer M. and Lone B.A. (2017a) International Journal of Modern Mathematical Sciences, 15(2), 187-205.
19. Subzar M., Maqbool S., Raja T.A. and Shabeer M.A. (2017b) World Applied Sciences Journal, 35(3), 377-384.
20. Subzar M., Maqbool S., Raja T.A. and Abid M. (2018a) Applied Mathematics & Information Sciences Letters.An International Journal 6(3), 123-130
21. Subzar M., Maqbool S., Raja T.A., Mir S.A., Jeelani M.I., Bhat M.A. (2018b) Investigación Operacional, 38(5), 510-524.
22. Subzar M., Maqbool S., Raja T.A., Pal S.K., Sharma P. (2018c) Statistics in Transition new series, 19(2), 219-238.
23. Wolter K.M. (1985) Introduction to Variance Estimation, Springer-Verlag.
24. Singh D. and Chaudhary F.S. (1986) Theory and Analysis of Sample Survey Designs, New Age International Publisher.
25. Singh H.P. and Tailor R. (2005) Statistica, anno LXV, 3, 301-310.