New Ratio Estimators for Estimating the Population Mean Using the Median and Size of the Sample
Abstract
This paper presents new ratio estimators for estimating the population mean using the median and size of the sample under simple random sampling without replacement (SRSWOR) scheme. The author has developed the estimator that proposed by Nangsue (2009), and Soponviwatkul and Lawson (2017). Furthermore, some important properties of the introduced estimators such as Bias, and Mean Squared Error (MSE) have been studied. In addition, theoretical and empirical studies were used in order to access the performance of the introduced estimators. The results of this study showed that the introduced estimators are more efficient than the usual unbiased estimator ( ), Cochran (1977) estimator ( ), Cochran (1977) estimator ( ), Sisodia and Dwivedi (1981) estimator ( ), Singh and Tailor (2003) estimator ( ),Subramani and Kumarpandiyan (2013) estimator ( ), Jerajuddin and Kishun (2016) estimator ( ), Nangsue (2009) estimator ( ), and the estimators of Soponviwatkul and Lawson (2017) ( , ) under percent relative efficiencies (PRE) criterion when the correlation between the study variable y and the auxiliary variable x is positive. Keywords : ratio estimators ; population mean ; median ; sample size ; simple random samplingReferences
Cochran, W. G. (1977). Sampling Techniques. (3rd ed). New York: John Wiley and Sons.
Jerajuddin, M. & Kishun, J. (2016). Modified Ratio Estimators for Population Mean Using Size of the Sample, Selected from Population. International Journal of Scientific Research in Science, Engineering and Technology, 2, 10-16.
Murthy, M. N. (1967). Sampling Theory and Methods. India: Statistical Publishing Society. Calcutta.
Nangsue, N. (2009). Adjusted Ratio and Regression Type Estimators for Estimation of Population Mean When Some Observations are Missing. World Academy of Science, 53, 787-790.
Singh, H. P. & Tailor, R. (2003). Use of Known Correlation Coefficient in Estimating the Finite Population Mean. Statistics in Transition, 6, 555-560.
Sisodia, B. V. S. & Dwivedi, V. K. (1981). A Modified ratio Estimator Using Coefficient of Variation of Auxiliary Variable. Journal of Indian Society Agricultural Statistics, 33, 13-18.
Soponviwatkul, K. & 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, 610-621.
Subramani, J. & Kumarapandiyan, G. (2013). Estimation of Variance using Known Coefficient of Variation and Median of an Auxiliary Variable. Journal of Modern Applied Statistical Methods, 12, 58-64.
Yadav, S. K., Subramani, J., Mishra, S. S. & Shukla, A. K. (2016). Improved Ratio-Cum- Product Estimators of Population Mean Using Known Population Parameters of Auxiliary Variables. American Journal of Operational Research, 6(2), 48-54.
Jerajuddin, M. & Kishun, J. (2016). Modified Ratio Estimators for Population Mean Using Size of the Sample, Selected from Population. International Journal of Scientific Research in Science, Engineering and Technology, 2, 10-16.
Murthy, M. N. (1967). Sampling Theory and Methods. India: Statistical Publishing Society. Calcutta.
Nangsue, N. (2009). Adjusted Ratio and Regression Type Estimators for Estimation of Population Mean When Some Observations are Missing. World Academy of Science, 53, 787-790.
Singh, H. P. & Tailor, R. (2003). Use of Known Correlation Coefficient in Estimating the Finite Population Mean. Statistics in Transition, 6, 555-560.
Sisodia, B. V. S. & Dwivedi, V. K. (1981). A Modified ratio Estimator Using Coefficient of Variation of Auxiliary Variable. Journal of Indian Society Agricultural Statistics, 33, 13-18.
Soponviwatkul, K. & 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, 610-621.
Subramani, J. & Kumarapandiyan, G. (2013). Estimation of Variance using Known Coefficient of Variation and Median of an Auxiliary Variable. Journal of Modern Applied Statistical Methods, 12, 58-64.
Yadav, S. K., Subramani, J., Mishra, S. S. & Shukla, A. K. (2016). Improved Ratio-Cum- Product Estimators of Population Mean Using Known Population Parameters of Auxiliary Variables. American Journal of Operational Research, 6(2), 48-54.
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Published
2022-01-10
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Research Article
