EFFICIENCY EVALUATION OF RATIO ESTIMATORS IN SIMPLE RANDOM SAMPLING
DOI:
https://doi.org/10.13052/jrss2229-5666.1229Keywords:
Ratio Type Estimators, Efficiency Comparison, Bias, Mean Squared Error, Percentage Relative BiasAbstract
In literature, several ratio type estimators of population mean were proposed by statisticians but none of them made pair wise comparison of these estimators. In this paper an attempt has been made for pair wise efficiency comparison of the same and find out the different conditions on which one estimator performed better than the other. Depending on the structure of data used, the efficiency comparison of these estimators is varied in certain circumstances. In this study we have revealed the efficiency conditions of the existing ratio estimators, through pair wise comparisons and examine the relative performance of ratio estimators in terms of efficiency and unbiasedness empirically.
Downloads
References
Bahl, S. and Tuteja R.K. (1991). Estimators, Journal of Information and Optimization Sciences, 12(1), 164.
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 Agricultural Science, 30, p. 262-275.
Kadilar, C. and Cingi, H. (2004). Applied Mathematics and Computation, 151,
Kumar, Manoj, Bhatnagar, Estimation of population mean using median as auxiliary variable International Journal of Agricultural
Rashid, R., Noor-ul-Amin, M. and Hanif, M. (2015). for population mean using the transformed auxiliary va Mathematics and Information Sciences,
Sharma, P. and Singh, R. (2015). finite population mean using two auxiliary variables Statistics and Operation Research,
Singh, B. K., Chanu,W.W. and cum dual to ratio estimator of finite population mean under double sampling scheme, An International Journal of Statistics applications and probability 4(1), p.37-51.
Singh, D. and Chaudhary, F. S. (1986). Theory And Analysis of Sample Survey Designs, New York: Wiley.
Singh, H.P. and Tailor, R. (2003). Use of known correlation coefficient in estimating the finite population mean, Statistics in Transition, 6, p. 555-560.
Singh, H.P., Tailor, R. and Kakran, M.S. (2004). An estimator of population mean using power transformation, Journal of Indian Society of Agricultural Statistics, 58, p. 223-230.
Sisodia, B.V.S. and Diwedi, V.K. (1981). A modified ratio estimator using coefficient of auxiliary variable, Journal of Indian Society of Agricultural Statistics, 33(2), p. 13-18.
Smith, T.M.F.(1976). The foundations of survey sampling. A review, JRSS A, 139, p. 183-204.
Subramani, J and Gnanasegaran, K. (2012). Estimation of population mean using known median and co-efficent of skewness, American Journal of Mathematics and Statistics, 2(5), p. 101-107.
Subzar M., Maqbool S. , Raja T. A., Pal, S.K. and Sharma, P. (2018). Efficient estimators of population mean using auxiliary information in simple random sampling, Statistics in Transition New Series, Polish Statistical Association, 19(2), p.219-238.
Upadhyaya, L.N. and Singh, H.P. (1999). Use of transformed auxiliary variable in estimating the finite population mean, Biometrical Journal, 41, p. 627-636.
Yan, Z. and Tian, B. (2010). Ratio method to the mean estimation using coefficient of skewness of auxiliary variable, In: Zhu, R., Zhang, Y., Liu, B. and Liu, C., Eds., Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, Vol. 106, Springer, Berlin, Heidelberg, p. 103-110.
Yasmeen, U., Noor-ul-Amin and Hanif, M. (2016). Exponential ratio and product type estimators of finite population mean, Journal of Statistics and Management Systems, 19, p. 55-71.
