BibTex RIS Kaynak Göster
Yıl 2007, , 7 - 20, 01.02.2007
https://doi.org/10.1501/Commua1_0000000194

Öz

Kaynakça

  • Barnett, V., Barreto, M.C.M., Best linear unbiased estimators for the simple linear regression model using ranked set sampling, Environmental and Ecological Statistics. 6 (1999), 119-133.
  • Bhattacharya, P.K., Convergence of sample paths of normalized sums of induced order sta- tistics, The Annnals of Statistics. 2 (1974), 1034-1039.
  • Chen, Z., Adaptive ranked-set sampling with multiple concomitant variables, Bernoulli. 8 (2002), 313-322.
  • Chen, Z., Bai, Z., Sinha, B.K., Ranked Set Sampling Theory and Applications, 2004, New York: Springer-Verlag.
  • Chen, Z., Wang, Y., E¢ cient regression analysis with ranked-set sampling, Biometrics. 60 (2004), 994-997.
  • Dell, D.R., Clutter, J.L., Ranked set sampling theory with order statistics background, Bio- metrics. 28 (1972), 545-555.
  • McIntyre, G.A., A method of unbiased selective sampling using ranked sets, Australian Jour- nal of Agricultural Research. 3 (1952), 385-390.
  • Muttlak, H.A., Parameters estimation in a simple linear regression using ranked set sampling, Biometrical Journal. 37 (1995), 799-810.
  • Muttlak, H.A., Estimation of parameters in a multiple regression model using ranked set sampling, Information and Optimization Sciences. 17 (1996), 521-533.
  • Özdemir, Y.A, Investigation of Parameter Estimation in Linear Regression Models Using Ranked Set Sampling, Gazi Üniversitesi Fen Bilimleri Enstitüsü, unpublished PhD thesis, (2005).
  • Samawi, H.M., Ababneh, F.M., On regression analysis using ranked set sample, Journal of Statistical Research. 35 (2001), 93-105.
  • Stokes, L.S., Ranked set sampling with concomitant variables, Commun. Statist. Theor. Meth. A6 (1977), 1207-1211.
  • Current address : Department of Statistics, Faculty of Science and Arts,University of Gazi, Be¸sevler, 06500, Ankara, Turkey

PARAMETER ESTIMATION IN MULTIPLE LINEAR REGRESSION MODELS USING RANKED SET SAMPLING

Yıl 2007, , 7 - 20, 01.02.2007
https://doi.org/10.1501/Commua1_0000000194

Öz

In statistical surveys, if the measurements of sampling units according to the variable under consideration is expensive in all sense, and if itis possible to rank sampling units according to the same variable by means ofa method which is not expensive at all, in those cases, Ranked Set Sampling(RSS) is a more e¢ cient sampling method than the Simple Random Sampling(SRS) to estimate the population mean. In this study, the eğects of using RSSin multiple linear regression analysis are considered in terms of estimation ofmodel parameters. Firstly, according to RSS and SRS the estimates of multipleregression model parameters are obtained and then the eğects concerning thevariances of the estimators are investigated by Monte Carlo simulation studybased on Relative E¢ ciency (RE) measure. It is shown that the estimatorsobtained based on RSS are more e¢ cient than the estimators based on SRSwhen the sample size is small

Kaynakça

  • Barnett, V., Barreto, M.C.M., Best linear unbiased estimators for the simple linear regression model using ranked set sampling, Environmental and Ecological Statistics. 6 (1999), 119-133.
  • Bhattacharya, P.K., Convergence of sample paths of normalized sums of induced order sta- tistics, The Annnals of Statistics. 2 (1974), 1034-1039.
  • Chen, Z., Adaptive ranked-set sampling with multiple concomitant variables, Bernoulli. 8 (2002), 313-322.
  • Chen, Z., Bai, Z., Sinha, B.K., Ranked Set Sampling Theory and Applications, 2004, New York: Springer-Verlag.
  • Chen, Z., Wang, Y., E¢ cient regression analysis with ranked-set sampling, Biometrics. 60 (2004), 994-997.
  • Dell, D.R., Clutter, J.L., Ranked set sampling theory with order statistics background, Bio- metrics. 28 (1972), 545-555.
  • McIntyre, G.A., A method of unbiased selective sampling using ranked sets, Australian Jour- nal of Agricultural Research. 3 (1952), 385-390.
  • Muttlak, H.A., Parameters estimation in a simple linear regression using ranked set sampling, Biometrical Journal. 37 (1995), 799-810.
  • Muttlak, H.A., Estimation of parameters in a multiple regression model using ranked set sampling, Information and Optimization Sciences. 17 (1996), 521-533.
  • Özdemir, Y.A, Investigation of Parameter Estimation in Linear Regression Models Using Ranked Set Sampling, Gazi Üniversitesi Fen Bilimleri Enstitüsü, unpublished PhD thesis, (2005).
  • Samawi, H.M., Ababneh, F.M., On regression analysis using ranked set sample, Journal of Statistical Research. 35 (2001), 93-105.
  • Stokes, L.S., Ranked set sampling with concomitant variables, Commun. Statist. Theor. Meth. A6 (1977), 1207-1211.
  • Current address : Department of Statistics, Faculty of Science and Arts,University of Gazi, Be¸sevler, 06500, Ankara, Turkey
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Yaprak Arzu Özdemir Bu kişi benim

Alptekin Esin A. Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2007
Yayımlandığı Sayı Yıl 2007

Kaynak Göster

APA Özdemir, Y. A., & Esin A., A. (2007). PARAMETER ESTIMATION IN MULTIPLE LINEAR REGRESSION MODELS USING RANKED SET SAMPLING. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 56(1), 7-20. https://doi.org/10.1501/Commua1_0000000194
AMA Özdemir YA, Esin A. A. PARAMETER ESTIMATION IN MULTIPLE LINEAR REGRESSION MODELS USING RANKED SET SAMPLING. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2007;56(1):7-20. doi:10.1501/Commua1_0000000194
Chicago Özdemir, Yaprak Arzu, ve Alptekin Esin A. “PARAMETER ESTIMATION IN MULTIPLE LINEAR REGRESSION MODELS USING RANKED SET SAMPLING”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 56, sy. 1 (Şubat 2007): 7-20. https://doi.org/10.1501/Commua1_0000000194.
EndNote Özdemir YA, Esin A. A (01 Şubat 2007) PARAMETER ESTIMATION IN MULTIPLE LINEAR REGRESSION MODELS USING RANKED SET SAMPLING. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 56 1 7–20.
IEEE Y. A. Özdemir ve A. Esin A., “PARAMETER ESTIMATION IN MULTIPLE LINEAR REGRESSION MODELS USING RANKED SET SAMPLING”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 56, sy. 1, ss. 7–20, 2007, doi: 10.1501/Commua1_0000000194.
ISNAD Özdemir, Yaprak Arzu - Esin A., Alptekin. “PARAMETER ESTIMATION IN MULTIPLE LINEAR REGRESSION MODELS USING RANKED SET SAMPLING”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 56/1 (Şubat 2007), 7-20. https://doi.org/10.1501/Commua1_0000000194.
JAMA Özdemir YA, Esin A. A. PARAMETER ESTIMATION IN MULTIPLE LINEAR REGRESSION MODELS USING RANKED SET SAMPLING. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2007;56:7–20.
MLA Özdemir, Yaprak Arzu ve Alptekin Esin A. “PARAMETER ESTIMATION IN MULTIPLE LINEAR REGRESSION MODELS USING RANKED SET SAMPLING”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 56, sy. 1, 2007, ss. 7-20, doi:10.1501/Commua1_0000000194.
Vancouver Özdemir YA, Esin A. A. PARAMETER ESTIMATION IN MULTIPLE LINEAR REGRESSION MODELS USING RANKED SET SAMPLING. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2007;56(1):7-20.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.