Improvement in Exponential Estimators of Population Mean using Information on Auxiliary Attribute

Yıl 2020, Cilt: 36 Sayı: 3, 325 - 332, 31.12.2020

Tolga Zaman

Öz

This paper proposes new
exponential estimators combining ratio estimators for estimate population mean of study variable using information
about population proportion possessing certain attributes. It is obtained mean
square error (MSE) equations for all proposed ratio exponential estimators and is
shown that all proposed exponential estimators are always more efficient than
the ratio estimators. In addition, these results are supported by an
application with original data sets.  

Anahtar Kelimeler

Exponential Estimators, Simple Random Sampling, Mean Square Error, Auxiliary Attribute, Efficiency

Kaynakça

• [1] Naik, V.D., 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), 151-158.
• [2] Jhajj, H. S., Sharma, M. K., Grover, L. K. 2006. A family of estimators of population mean using information on auxiliary attribute. Pakistan Journal of Statistics-All Series-, 22(1), 43.
• [3] Shabbir, J., Gupta, S. 2010. Estimation of the finite population mean in two phase sampling when auxiliary variables are attributes. Hacettepe Journal of Mathematics and Statistics, 39(1), 121-129.
• [4] Koyuncu, N. 2012. Efficient estimators of population mean using auxiliary attributes. Applied Mathematics and Computation, 218(22), 10900-10905.
• [5] Malik, S., Singh, R. 2013. An improved estimator using two auxiliary attributes. Applied mathematics and computation, 219(23), 10983-10986.
• [6] Zaman, T. 2018. New family of estimators using two auxiliary attributes. International Journal of Advanced Research I Engineering & Management (IJAREM), 4(11), 11-16.
• [7] Zaman, T. 2018. Modified Ratio Estimators Using Coefficient of Skewness of Auxiliary Attribute. International Journal of Modern Mathematical Sciences, 16(2), 87-95.
• [8] Zaman, T., Kadilar, C. 2019. New class of exponential estimators for finite population mean in two-phase sampling. Communications in Statistics-Theory and Methods, 1-16.
• [9] Bahl, S., Tuteja, R.K. 1991. Ratio and product type exponential estimator, Information and Optimization Sciences XII (I), 159-163, 1991.
• [10] Zaman, T., Kadilar, C. 2019. Novel family of exponential estimators using information of auxiliary attribute. Journal of Statistics and Management Systems, 1-11.
• [11] Kadilar C., Cingi, H. 2006. Improvement in estimating the population mean in simple random sampling. Applied Mathematics Letters. 19. 75-79
• [12] Singh, R., Chauhan, P., Sawan, N., Smarandache, F. 2007. Ratio-product type exponential estimator for estimating finite population mean using information on auxiliary attribute. in “Auxiliary Information and a Priori Values in Construction of Improved Estimators” edited by Singh, R., Chauhan, P., Sawan, N. and Smarandache, F., Renaissance High Press, 18-32.
• [13] Zaman, T., Saglam, V., Sagir, M., Yucesoy, E., Zobu, M. 2014. Investigation of some estimators via Taylor series approach and an application. American Journal of Theoretical and Applied Statistics, 3(5), 141-147.
• [14] Sukhatme, P.V.1957. Sampling theory of surveys with applications. The Indian Society of Agrcultural Statistics, New Delhi, pp. 279-280
• [15] Çıngı, H. 1994. Sampling Theory, Ankara: Hacettepe University Press.
• [16] Wolter, K.M. 1985. Introduction to Variance Estimation, (Springer-Verlag).