IMPROVED ESTIMATORS USING COEFFICIENT OF SKEWNESS OF AUXILIARY ATTRIBUTE
Keywords:
Ratio Estimators, Simple Random Sampling, Auxiliary Attribute, Mean Square Error, Efficiency.Abstract
In this paper, some ratio estimators for the population mean using known coefficient of skewness based on auxiliary attribute have been proposed and these have been developed by combining ratio estimators for estimating population mean of variate of study using the procedure given in Kadilar and Cingi (2006). The mean square error (MSE) equations for suggested estimators have been derived and it has been concluded that the suggested estimators always perform better than the ratio estimators, given in Sections 1 and 2. The results are also supported by the three original datasets.
Downloads
References
Abd-Elfattah, A. M., El-Sherpieny, E. A., Mohamed, S. M. and Abdou O. F. (2010). Improvement in estimating the population mean in simple random sampling using information on auxiliary attribute, Applied mathematics and computation, 215(12), p. 4198-4202.
Cingi, H. (2009). Sampling Theory, Hacettepe University Press.
Kadilar, C. and Cingi, H. (2006). Improvement in estimating the population mean in simple random sampling, Applied Mathematics Letters, 19(1), p.75- 79.
Koyuncu, N. (2012). Efficient estimators of population mean using auxiliary attributes, Applied Mathematics and Computation, 218(22), p.10900-10905.
Malik, S., and Singh, R. (2013). An improved estimator using two auxiliary attributes, Applied mathematics and computation, 219(23), p.10983-10986.
Naik, V.D., and Gupta, P.C. (1996). A note on estimation of mean with known population proportion of an auxiliary character, Jour. Ind. Soc. Agr. Stat., 48(2), p. 151-158.
Singh, R., Chauhan, P., Sawan, N. and Smarandache, F. (2008). Ratio estimators in simple random sampling using information on auxiliary attribute, Pak. J. Stat. Oper. Res. 4(1), p. 47-53.
Sukhatme, P.V. (1957). Sampling Theory of Surveys with Applications, The Indian Society of Agricultural Statistics; New Delhi.
Wolter, K.M. (1985). Introduction to Variance Estimation, Springer-Verlag.
Zaman, T., Saglam, V., Sagir, M., Yucesoy, E.and Zobu, M. (2014). Investigation of some estimators via Taylor series approach and an application, American Journal of Theoretical and Applied Statistics, 3(5), p.141-147.
Zaman, T. (2018). Modified ratio estimators using coefficient of skewness of auxiliary attribute, International Journal of Modern Mathematical Sciences, 16(2), p. 87-95.
Zaman, T. (2019).Improvement in estimating the population mean in simple random sampling using coefficient of skewness of auxiliary attribute, Suleyman Demirel University, Journal of Natural and Applied Sciences, 23(1), p. 98-102.