Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2017, Cilt: 46 Sayı: 4, 685 - 694, 01.08.2017

Öz

Kaynakça

  • Bahl, S.and Tuteja, R. K. Ratio and product type exponential estimators, Journal of Infor- mation and Optimization Sciences 12, 159164, 1991.
  • Cingi, H. and Kadilar, C. Advances in sampling theory- ratio method of estimation (Ben- tham Science Publishers, 2009).
  • Cochran, W.G. The estimation of the yields of the cereal experiments by sampling for the ratio of grain to total produce, Journal of Agricultural Society 30, 262275, 1940.
  • Grover, L. K., Kaur, P. and Vishawkarma G. K. Product type exponential estimators of pop- ulation mean under linear transformation of auxiliary variable in simple random sampling, Applied Mathematics and Computation 219, 19371946, 2012.
  • Grover, L. K. and Kaur, P. A generalized class of ratio type exponential estimators of popu- lation mean under linear transformation of auxiliary variable, Communications in Statistics, Simulation and Computation, 43, 15521574, 2014.
  • Gujarati, D.N. Basic Econometrics (McGraw-Hills, 2004).
  • Kadilar, C. and Cingi, H. Ratio estimators in stratied random sampling, Biometrical Jour- nal 45 (2), 218225, 2003.
  • Kadilar, C. and Cingi, H. Ratio estimators in simple random sampling, Applied Mathemat- ics and Computation 151 (3), 893902, 2004.
  • Kadilar, C. and Cingi, H. Improvement in estimating population mean using correlation coefficient, Hacettepe Journal of Mathematics and Statistics 35 (1), 103109, 2006a.
  • Kadilar, C. and Cingi, H. New ratio estimators using correlation coecient, Inter Stat 4 (March):111, 2006b.
  • Kadilar, C. and Cingi, H. Improvement in estimating the population mean in simple random sampling, Applied Mathematics Letter 19 (1), 7579, 2006c.
  • Mohanty S. and Sahoo J. A note on improving the ratio method of estimation through linear transformation using certain known population parameters, Sankhya Series B, 57 (1), 93102, 1995.
  • Murthy, M.N. Product method of estimation, Sankhya Series A 26, 6974, 1964.
  • Shabbir, J. and Gupta, S. On estimating nite population mean in simple and stratied random sampling, Communications in Statistics-Theory and Methods 40 (2), 199212, 2011.
  • Singh, H. P. and Tailor, R. Use of known correlation coefficient in estimating the nite population mean, Statistics in Transition 6 (4):555560, 2003.
  • Singh, H.P., Tailor, R. and Tailor, R. On ratio and product methods with certain known population parameters of auxiliary variable in sample surveys, Statistics and Operations Research Transactions, 34 (2), 157180, 2010.
  • Robson, D.S. Application of multivariate polykays to the theory of unbiased type estimation, Journal of the American Statistical Association 26, 6974, 1957.
  • Yasmeen, U., Noor ul Amin, M. and Hanif, M. Generalized exponential estimators of finite population mean using transformed auxiliary variables, Int. J. Appl. Comput. Math, DOI 10.1007/s40819-015-0034-x, 2015.

Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable

Yıl 2017, Cilt: 46 Sayı: 4, 685 - 694, 01.08.2017

Öz

Grover et al. [4] suggested two product type exponential estimators using linear transformation of auxiliary variable. This paper proposes ratio, product and product type exponential estimators of population mean using new three linear transformations. Transformations using the known minimum and maximum values of the auxiliary variable x have been considered. Theoretically, mean square errors (MSE) and biases equations of our proposed estimators are derived up to the first order approximation. The proposed estimators are more efficient than the classical ones under theoretical conditions. We obtain the superiority regions of the proposed product type exponential estimators. Additionally, we present the diagrams of these regions. A numerical example is perfomed to support the theoretical results.

Kaynakça

  • Bahl, S.and Tuteja, R. K. Ratio and product type exponential estimators, Journal of Infor- mation and Optimization Sciences 12, 159164, 1991.
  • Cingi, H. and Kadilar, C. Advances in sampling theory- ratio method of estimation (Ben- tham Science Publishers, 2009).
  • Cochran, W.G. The estimation of the yields of the cereal experiments by sampling for the ratio of grain to total produce, Journal of Agricultural Society 30, 262275, 1940.
  • Grover, L. K., Kaur, P. and Vishawkarma G. K. Product type exponential estimators of pop- ulation mean under linear transformation of auxiliary variable in simple random sampling, Applied Mathematics and Computation 219, 19371946, 2012.
  • Grover, L. K. and Kaur, P. A generalized class of ratio type exponential estimators of popu- lation mean under linear transformation of auxiliary variable, Communications in Statistics, Simulation and Computation, 43, 15521574, 2014.
  • Gujarati, D.N. Basic Econometrics (McGraw-Hills, 2004).
  • Kadilar, C. and Cingi, H. Ratio estimators in stratied random sampling, Biometrical Jour- nal 45 (2), 218225, 2003.
  • Kadilar, C. and Cingi, H. Ratio estimators in simple random sampling, Applied Mathemat- ics and Computation 151 (3), 893902, 2004.
  • Kadilar, C. and Cingi, H. Improvement in estimating population mean using correlation coefficient, Hacettepe Journal of Mathematics and Statistics 35 (1), 103109, 2006a.
  • Kadilar, C. and Cingi, H. New ratio estimators using correlation coecient, Inter Stat 4 (March):111, 2006b.
  • Kadilar, C. and Cingi, H. Improvement in estimating the population mean in simple random sampling, Applied Mathematics Letter 19 (1), 7579, 2006c.
  • Mohanty S. and Sahoo J. A note on improving the ratio method of estimation through linear transformation using certain known population parameters, Sankhya Series B, 57 (1), 93102, 1995.
  • Murthy, M.N. Product method of estimation, Sankhya Series A 26, 6974, 1964.
  • Shabbir, J. and Gupta, S. On estimating nite population mean in simple and stratied random sampling, Communications in Statistics-Theory and Methods 40 (2), 199212, 2011.
  • Singh, H. P. and Tailor, R. Use of known correlation coefficient in estimating the nite population mean, Statistics in Transition 6 (4):555560, 2003.
  • Singh, H.P., Tailor, R. and Tailor, R. On ratio and product methods with certain known population parameters of auxiliary variable in sample surveys, Statistics and Operations Research Transactions, 34 (2), 157180, 2010.
  • Robson, D.S. Application of multivariate polykays to the theory of unbiased type estimation, Journal of the American Statistical Association 26, 6974, 1957.
  • Yasmeen, U., Noor ul Amin, M. and Hanif, M. Generalized exponential estimators of finite population mean using transformed auxiliary variables, Int. J. Appl. Comput. Math, DOI 10.1007/s40819-015-0034-x, 2015.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm İstatistik
Yazarlar

Hatice Oncel Cekim

Hulya Cingi

Yayımlanma Tarihi 1 Ağustos 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 46 Sayı: 4

Kaynak Göster

APA Oncel Cekim, H., & Cingi, H. (2017). Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable. Hacettepe Journal of Mathematics and Statistics, 46(4), 685-694.
AMA Oncel Cekim H, Cingi H. Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable. Hacettepe Journal of Mathematics and Statistics. Ağustos 2017;46(4):685-694.
Chicago Oncel Cekim, Hatice, ve Hulya Cingi. “Some Estimator Types for Population Mean Using Linear Transformation With the Help of the Minimum and Maximum Values of the Auxiliary Variable”. Hacettepe Journal of Mathematics and Statistics 46, sy. 4 (Ağustos 2017): 685-94.
EndNote Oncel Cekim H, Cingi H (01 Ağustos 2017) Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable. Hacettepe Journal of Mathematics and Statistics 46 4 685–694.
IEEE H. Oncel Cekim ve H. Cingi, “Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable”, Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 4, ss. 685–694, 2017.
ISNAD Oncel Cekim, Hatice - Cingi, Hulya. “Some Estimator Types for Population Mean Using Linear Transformation With the Help of the Minimum and Maximum Values of the Auxiliary Variable”. Hacettepe Journal of Mathematics and Statistics 46/4 (Ağustos 2017), 685-694.
JAMA Oncel Cekim H, Cingi H. Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable. Hacettepe Journal of Mathematics and Statistics. 2017;46:685–694.
MLA Oncel Cekim, Hatice ve Hulya Cingi. “Some Estimator Types for Population Mean Using Linear Transformation With the Help of the Minimum and Maximum Values of the Auxiliary Variable”. Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 4, 2017, ss. 685-94.
Vancouver Oncel Cekim H, Cingi H. Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable. Hacettepe Journal of Mathematics and Statistics. 2017;46(4):685-94.