Comparing Ratio-Type Estimators using Auxiliary Information in Simple Random Sampling
DOI:
https://doi.org/10.62933/j8mqkh03Keywords:
Estimator Ray and Singh , Estimator Sisodia and Dwivedi , Estimator Singh and Kakran , Estimator Upadhyaya and Singh , Mean Square ErrorAbstract
Researchers in the subject of simple random sampling used to rely on the well-known classical estimator, the ratio estimator, when estimating the population mean. However, with the development of studies and research, researchers proposed a set of new estimators that increase the efficiency of the estimation, especially when using auxiliary information alongside the study variable Y. In this research, a set of ratio-type estimators was presented using auxiliary information to estimate the arithmetic mean of the simple random sample. These estimators were applied to a set of real data, and a comparison was made between these estimators through the MSE comparison criterion.
References
[1] Kadilar, C. & Cingi, H. (2004), Ratio estimators in simple random sampling, Applied Mathematics and Computation 151, 893–902.
[2] Sisodia, B. V. S. & Dwivedi, V. K. (2012), A modified ratio estimator using coefficient of variation of auxiliary variable, Journal of the Indian Society of Agricultural Statistics 33(1), 13–18.
[3] [14] Abid M., Abbas N., Nazir Z.A. & Lin Z. (2016a). ‘Enhancing the mean ratio estimators for estimating population mean using non-conventional location parameters’. Revista Colombiana de Estadistica 39(1): 63 – 79.
[4] J.O. Muili, A. Audu , A.B. Odeyale , and I.O. Olawoyin.(2019).’ Ratio Estimators for Estimating Population Mean Using Tri-mean, Median and Quartile Deviation of Auxiliary Variable’. Journal of Science and Technology Research 1(1) 2019 pp. 91-102.
[5] Isah Muhammad,Yahaya Zakari, Mannir Abdu, Rufai Iliyasu, Mujtaba Suleiman, SamailaManzo, Ali Muhammad and Adamu Zakar Adamu.(2023).’ EnhancedRatio-Type Estimator forFinite Population Mean using Auxiliary Variable in SimpleRandom Sampling’. NIPES Journal of Science and Technology Research 5(1) 2023pp. 242-252.
[6] S.K. Ray, R.K. Singh, (1981), Difference-cum-ratio type estimators, Journal of Indian Statistical Association 19 147–151.
[7] B.V.S. Sisodia, V.K. Dwivedi, (1981), A modified ratio estimator using coefficient of variation of auxiliary variable, Journal of Indian Society Agricultural Statistics 33 13–18.
[8] H.P. Singh, M.S. Kakran, (1993), A Modified Ratio Estimator Using Known Coefficient of Kurtosis of an Auxiliary Character, (unpublished).
[9] Upadhyaya, L. N. & Singh, H. (1999), Use of transformed auxiliary variable in estimating the finite population mean, Biometrical Journal 41(5), 627–636.
[10] Cochran, W. G. (1940), Sampling Techniques, 3 edn, Wiley Eastern Limited, New York.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Saja Mohammad Hussein, Batool Amer (Author)
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Licensed under a CC-BY license: https://creativecommons.org/licenses/by-nc-sa/4.0/
