Shakti Prasad https://orcid.org/0000-0002-7867-7586
ARTICLE

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ABSTRACT

This paper deals some linear regression type ratio exponential estimators for estimating the population mean using the known values of quartile deviation and deciles of an auxiliary variable in survey sampling. The expressions of the bias and the mean square error of the suggested estimators have been derived. It was compared with the usual mean, usual ratio (Cochran (1977)), Kadilar and Cingi (2004, 2006) and Subzar et al. (2017) estimators. After comparison, the condition which makes the suggested estimators more efficient than others is found. To verify the theoretical results, numerical results are performed on two natural population data sets.

KEYWORDS

Bias, Mean square error (MSE), Auxiliary variable, Relative Efficiency (%)

REFERENCES

ABID, M., ABBAS, N., RIAZ, M., (2016a). Enhancing the Mean Ratio Estimators for Estimating Population Mean using Non-Conventional Location Parameters, Revista Colombiana de Estadistica, 39 (1), pp. 63–79.

ABID, M., ABBAS, N., RIAZ, M., (2016b). Improved Modified Ratio Estimators of Population Mean Based on Deciles, Chiang Mai Journal of Science, 43 (1), pp. 1311–1323.

ABID, M., ABBAS, N., SHERWANI, K. A. R., NAZIR, Z., H., (2016c). Improved Ratio Estimators for the Population Mean using Non-Conventional Measures of Dispersion, Pakistan Journal of Statistics and Operation Research, 12 (2), pp. 353-367.

COCHRAN, W. G., (1977). Sampling Techniques, 3rd edn. Wiley and Sons.

KADILAR, C., CINGI, H., (2004). Ratio Estimators in Simple Random Sampling, Applied Mathematics and Computaton, 151, pp. 893-902.

KADILAR, C., CINGI, H., (2006). An Improvement in Estimating the Population Mean by using the Correlation Coefficient, Hacettepe Journal of Mathematics and Statistics, 35 (1), pp. 103–109.

MURTHY, M. N., (1967). Sampling Theory and Methods, Statistical Publishing Society, Calcutta, India.

SINGH, D., CHAUDHARY, F. S., (1986). Theory and Analysis of Sample Survey Designs, 1st edn. New Age International Publisher, India .

SISODIA, B. V. S., DWIVEDI, V. K., (1981). A Modified Ratio Estimator using Coefficient of Variation of Auxiliary Variable, Journal of the Indian Society of Agricultural Statistics, 33 (1), pp. 13–18.

SUBRAMANI, J., KUMARAPANDIYAN, G., (2012a). Estimation of Population Mean using Co-efficient of Variation and Median of an Auxiliary Variable, International Journal of Probability and Statistics, (1), pp. 111–118.

SUBRAMANI, J., KUMARAPANDIYAN, G., (2012b). Estimation of Population Mean using known Median and Co-efficient of Skewness, American Journal of Mathematics and Statistics, 2, 101–107.

SUBRAMANI, J., KUMARAPANDIYAN, G., (2012c). Modified Ratio Estimators using known Median and Co-efficient of kurtosis, American Journal of Mathematics and Statistics, 2, pp. 95–100.

SUBRAMANI, J., KUMARAPANDIYAN, G., (2012d). A Class of Modified Ratio Estimators using Deciles of an Auxiliary Variable, International Journal of Statistical Application, 2, pp. 101–107.

SUBZAR, M., MAQBOOL, S., RAJA, T. A., SHABEER, M., (2017). A New Ratio Estimators for Estimation of Population Mean using Conventional Location Parameters, World Applied Sciences Journal, 35 (3), pp. 377–384.

SWAIN, A. K. P. C., (2014). An Improved Ratio Type Estimator of Finite Population in Sample Surveys, Revista Investigación Operacional, 35 (1), pp. 49–57.

UPADHYAYA, L. N., SINGH, H. P., (1999). Use of Transformed Auxiliary Variable in Estimating the Finite Population Mean, Biometrical Journal, 41 (5), pp. 627–636.

YAN, Z., TIAN, B., (2010). Ratio Method to the Mean Estimation Using Coefficient of Skewness of Auxiliary Variable, ICICA 2010, Part 11, CCIS 106, pp. 103–110.

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