Improvement in Estimating the Population Mean in Simple Random Sampling using Coefficient of Skewness of Auxiliary Attribute

Öz

This paper suggested a new family of estimators for the population mean in the simple random sampling using the information of an auxiliary attribute. Theoretically, the mean square error (MSE) equations were obtained and it was shown that all the suggested ratio estimators are more efficient than some known estimators. These results were also supported by two original data sets. 

Anahtar Kelimeler

• Auxiliary attribute,Efficiency,Ratio estimator,Simple random sampling,Mean square error

Yardımcı Özniteliğin Çarpıklık Katsayısı Kullanılarak Basit Rastgele Örneklemede Kitle Ortalamasının Tahmin Edilmesindeki İyileşme

Öz

Bu makale, basit rasgele örneklemede yardımcı öznitelik bilgisini kullanarak popülasyon ortalaması için yeni bir tahmin edici ailesi önermiştir. Teorik olarak, önerilen tüm tahmin ediciler için hata kareler ortalaması (HKO) denklemleri elde edildi ve önerilen tüm oran tahmin edicilerinin bazı bilinen tahmin edicilerden daha etkin olduğu gösterildi. Bu sonuçlar ayrıca iki orijinal veri kümesi tarafından desteklendi. 

Anahtar Kelimeler

• Basit rasgele örnekleme,Yardımcı öznitelik,Hata kareler ortalaması,Etkinlik,Oran tahmini

Kaynakça

1. [1] Zaman, T. 2018. Modified Ratio Estimators Using Coefficient of Skewness of Auxiliary Attribute. International Journal of Modern Mathematical Sciences. 16(2) 87-95.
2. [2] Kadilar C., Cingi, H. 2006. Improvement in estimating the population mean in simple random sampling. Applied Mathematics Letters. 19. 75-79.
3. [3] Naik, V.D. and Gupta, P.C. 1996. A note on estimation of mean with known population of an auxiliary character, Journal of Indian Society Agricultural Statistics, 48 (2) 151-158.
4. [4] Kadilar, C. and Cingi, H. 2005. A new estimator using two auxiliary variables. Applied Mathematics and Computation, 162(2) 901-908.
5. [5] Shabbir, J., and Gupta, S. 2007. On estimating the finite population mean with known population proportion of an auxiliary variable. Pakistan Journal of Statistics 23(1), 1-9.
6. [6] Singh, R., Chauhan, P., and Sawan, N. 2008. On linear combination of ratio and product type exponential estimator for estimating the finite population mean. Statistics in Transition, 9(1), 105-115.
7. [7] 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), 4198-4202.
8. [8] Koyuncu, N. 2012. Efficient estimators of population mean using auxiliary attributes. Applied Mathematics and Computation, 218(22), 10900-10905.

9. [9] Malik, S., and Singh, R. 2013. An improved estimator using two auxiliary attributes. Applied mathematics and computation, 219(23), 10983-10986.
10. [10] Zaman, T. 2018. New family of estimators using two auxiliary attributes. International Journal of Advanced Research I Engineering & Management (IJAREM), 4(11), 11-16.
11. [11] Wolter, K.M. 1985. Introduction to Variance Estimation, (Springer-Verlag).
12. [12] Cochran, W.G. 1977. Sampling techniques, John Wiley and Sons, New York.
13. [13] Sukhatme, P.V. 1957. Sampling theory of surveys with applications. The Indian Society of Agrcultural Statistics, New Delhi, pp. 279-280.
14. [14] 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) 141-147.