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A new class of unbiased linear estimators in systematic sampling

Yıl 2017, Cilt: 46 Sayı: 2, 315 - 323, 01.04.2017

Öz

Use of auxiliary variables is very common in estimating various population parameters. In this study, we suggest a class of unbiased linear estimators for estimating the population mean of the study variate y using information on the auxiliary variate x in systematic sampling. The
variance expressions of the suggested estimators are compared with usual unbiased estimator, Swain's (1964) ratio estimator and Shukla's
(1971) product type estimator. It is demonstrated that the proposed estimators are more efficient than others.

Kaynakça

  • Çıngı, H., Örnekleme Kuram, 3. Baskı, Bizim Büro Basmevi Yayn Dağ. Tic. Ltd. Ş“irketi, 223-255, 2009.
  • Çıngı, H., Kadılar C., Advances in sampling theory-ratio method of estimation, Bentham Science Publishers, 2009.
  • Cochran,W.G., Sampling Techniques, 3rd edition, New York: Wiley, Page: 150-186, 205- 231, 1977.
  • İnal, C., Günay, S., Olasılık ve Matematiksel İstatistik, Hacettepe Üniversitesi Fen Fakültesi Yayınları, 2009.
  • Madow, W. G., & Madow, L. H., On the theory of systematic sampling, I. The Annals of Mathematical Statistics, 15(1), 1-24, 1994.
  • Shukla, N.D., Systematic sampling and product method of estimation, Proceeding of all India Seminar on Demography and Statistics. B.H.U., Varanasi, India, 1971.
  • Singh, H. P., Tailor, R., & Jatwa, N. K., Modified ratio and product estimators for population mean in systematic sampling., Journal of Modern Applied Statistical Methods,10(2),4, 2011.
  • Singh, R., Singh, H. P., Almost unbiased ratio and product-type estimators in systematic sampling, Questiio, 22 (3), 403-416, 1998.
  • Swain, A.K.P.C., The use of systematic sampling in ratio estimate, Jour. Ind. Stat. Assoc., 2 (213), 160164, 1964.
  • Quenouille, M. H., Notes on bias in estimation. Biometrika, 43(3/4), 353-360, 1956.
Yıl 2017, Cilt: 46 Sayı: 2, 315 - 323, 01.04.2017

Öz

Kaynakça

  • Çıngı, H., Örnekleme Kuram, 3. Baskı, Bizim Büro Basmevi Yayn Dağ. Tic. Ltd. Ş“irketi, 223-255, 2009.
  • Çıngı, H., Kadılar C., Advances in sampling theory-ratio method of estimation, Bentham Science Publishers, 2009.
  • Cochran,W.G., Sampling Techniques, 3rd edition, New York: Wiley, Page: 150-186, 205- 231, 1977.
  • İnal, C., Günay, S., Olasılık ve Matematiksel İstatistik, Hacettepe Üniversitesi Fen Fakültesi Yayınları, 2009.
  • Madow, W. G., & Madow, L. H., On the theory of systematic sampling, I. The Annals of Mathematical Statistics, 15(1), 1-24, 1994.
  • Shukla, N.D., Systematic sampling and product method of estimation, Proceeding of all India Seminar on Demography and Statistics. B.H.U., Varanasi, India, 1971.
  • Singh, H. P., Tailor, R., & Jatwa, N. K., Modified ratio and product estimators for population mean in systematic sampling., Journal of Modern Applied Statistical Methods,10(2),4, 2011.
  • Singh, R., Singh, H. P., Almost unbiased ratio and product-type estimators in systematic sampling, Questiio, 22 (3), 403-416, 1998.
  • Swain, A.K.P.C., The use of systematic sampling in ratio estimate, Jour. Ind. Stat. Assoc., 2 (213), 160164, 1964.
  • Quenouille, M. H., Notes on bias in estimation. Biometrika, 43(3/4), 353-360, 1956.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm İstatistik
Yazarlar

Eda Gizem Koçyiğit

Hülya Çıngı

Yayımlanma Tarihi 1 Nisan 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 46 Sayı: 2

Kaynak Göster

APA Koçyiğit, E. G., & Çıngı, H. (2017). A new class of unbiased linear estimators in systematic sampling. Hacettepe Journal of Mathematics and Statistics, 46(2), 315-323.
AMA Koçyiğit EG, Çıngı H. A new class of unbiased linear estimators in systematic sampling. Hacettepe Journal of Mathematics and Statistics. Nisan 2017;46(2):315-323.
Chicago Koçyiğit, Eda Gizem, ve Hülya Çıngı. “A New Class of Unbiased Linear Estimators in Systematic Sampling”. Hacettepe Journal of Mathematics and Statistics 46, sy. 2 (Nisan 2017): 315-23.
EndNote Koçyiğit EG, Çıngı H (01 Nisan 2017) A new class of unbiased linear estimators in systematic sampling. Hacettepe Journal of Mathematics and Statistics 46 2 315–323.
IEEE E. G. Koçyiğit ve H. Çıngı, “A new class of unbiased linear estimators in systematic sampling”, Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 2, ss. 315–323, 2017.
ISNAD Koçyiğit, Eda Gizem - Çıngı, Hülya. “A New Class of Unbiased Linear Estimators in Systematic Sampling”. Hacettepe Journal of Mathematics and Statistics 46/2 (Nisan 2017), 315-323.
JAMA Koçyiğit EG, Çıngı H. A new class of unbiased linear estimators in systematic sampling. Hacettepe Journal of Mathematics and Statistics. 2017;46:315–323.
MLA Koçyiğit, Eda Gizem ve Hülya Çıngı. “A New Class of Unbiased Linear Estimators in Systematic Sampling”. Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 2, 2017, ss. 315-23.
Vancouver Koçyiğit EG, Çıngı H. A new class of unbiased linear estimators in systematic sampling. Hacettepe Journal of Mathematics and Statistics. 2017;46(2):315-23.