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

Year 2019, Volume: 23 Issue: 1, 108 - 112, 01.04.2019

Tolga Zaman

https://doi.org/10.19113/sdufenbed.451277

Abstract










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. 

Keywords

Auxiliary attribute Efficiency Ratio estimator Simple random sampling Mean square error

References

  • [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] Kadilar C., Cingi, H. 2006. Improvement in estimating the population mean in simple random sampling. Applied Mathematics Letters. 19. 75-79.
  • [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] Kadilar, C. and Cingi, H. 2005. A new estimator using two auxiliary variables. Applied Mathematics and Computation, 162(2) 901-908.
  • [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] 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] 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] Koyuncu, N. 2012. Efficient estimators of population mean using auxiliary attributes. Applied Mathematics and Computation, 218(22), 10900-10905.
  • [9] Malik, S., and Singh, R. 2013. An improved estimator using two auxiliary attributes. Applied mathematics and computation, 219(23), 10983-10986.
  • [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] Wolter, K.M. 1985. Introduction to Variance Estimation, (Springer-Verlag).
  • [12] Cochran, W.G. 1977. Sampling techniques, John Wiley and Sons, New York.
  • [13] Sukhatme, P.V. 1957. Sampling theory of surveys with applications. The Indian Society of Agrcultural Statistics, New Delhi, pp. 279-280.
  • [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.

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

Year 2019, Volume: 23 Issue: 1, 108 - 112, 01.04.2019

Tolga Zaman

https://doi.org/10.19113/sdufenbed.451277

Abstract










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. 

Keywords

Basit rasgele örnekleme Yardımcı öznitelik Hata kareler ortalaması Etkinlik Oran tahmini

References

  • [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] Kadilar C., Cingi, H. 2006. Improvement in estimating the population mean in simple random sampling. Applied Mathematics Letters. 19. 75-79.
  • [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] Kadilar, C. and Cingi, H. 2005. A new estimator using two auxiliary variables. Applied Mathematics and Computation, 162(2) 901-908.
  • [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] 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] 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] Koyuncu, N. 2012. Efficient estimators of population mean using auxiliary attributes. Applied Mathematics and Computation, 218(22), 10900-10905.
  • [9] Malik, S., and Singh, R. 2013. An improved estimator using two auxiliary attributes. Applied mathematics and computation, 219(23), 10983-10986.
  • [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] Wolter, K.M. 1985. Introduction to Variance Estimation, (Springer-Verlag).
  • [12] Cochran, W.G. 1977. Sampling techniques, John Wiley and Sons, New York.
  • [13] Sukhatme, P.V. 1957. Sampling theory of surveys with applications. The Indian Society of Agrcultural Statistics, New Delhi, pp. 279-280.
  • [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.
There are 14 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Tolga Zaman 0000-0001-8780-3655

Publication Date April 1, 2019
Published in Issue Year 2019 Volume: 23 Issue: 1

Cite

APA Zaman, T. (2019). Improvement in Estimating the Population Mean in Simple Random Sampling using Coefficient of Skewness of Auxiliary Attribute. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23(1), 108-112. https://doi.org/10.19113/sdufenbed.451277
AMA Zaman T. Improvement in Estimating the Population Mean in Simple Random Sampling using Coefficient of Skewness of Auxiliary Attribute. J. Nat. Appl. Sci. April 2019;23(1):108-112. doi:10.19113/sdufenbed.451277
Chicago Zaman, Tolga. “Improvement in Estimating the Population Mean in Simple Random Sampling Using Coefficient of Skewness of Auxiliary Attribute”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23, no. 1 (April 2019): 108-12. https://doi.org/10.19113/sdufenbed.451277.
EndNote Zaman T (April 1, 2019) Improvement in Estimating the Population Mean in Simple Random Sampling using Coefficient of Skewness of Auxiliary Attribute. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23 1 108–112.
IEEE T. Zaman, “Improvement in Estimating the Population Mean in Simple Random Sampling using Coefficient of Skewness of Auxiliary Attribute”, J. Nat. Appl. Sci., vol. 23, no. 1, pp. 108–112, 2019, doi: 10.19113/sdufenbed.451277.
ISNAD Zaman, Tolga. “Improvement in Estimating the Population Mean in Simple Random Sampling Using Coefficient of Skewness of Auxiliary Attribute”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23/1 (April 2019), 108-112. https://doi.org/10.19113/sdufenbed.451277.
JAMA Zaman T. Improvement in Estimating the Population Mean in Simple Random Sampling using Coefficient of Skewness of Auxiliary Attribute. J. Nat. Appl. Sci. 2019;23:108–112.
MLA Zaman, Tolga. “Improvement in Estimating the Population Mean in Simple Random Sampling Using Coefficient of Skewness of Auxiliary Attribute”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 23, no. 1, 2019, pp. 108-12, doi:10.19113/sdufenbed.451277.
Vancouver Zaman T. Improvement in Estimating the Population Mean in Simple Random Sampling using Coefficient of Skewness of Auxiliary Attribute. J. Nat. Appl. Sci. 2019;23(1):108-12.
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