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A Simulation Study of some Shrinkage Estimators

Year 2006, Volume: 35 Issue: 2, 213 - 226, 01.02.2006

References

  • Akdeniz, F. and Erol, H. Mean squared error matrix comparisons of some biased estimators in linear regression, Communications in Statistics - Theory and Methods 32, 2389–2413, 2003.
  • Akdeniz, F. and Ka¸cıranlar, S. On the almost unbiased generalized Liu estimator and un- bised estimation of the bias and MSE, Commun. Statist - Theory and Meth. 24 (7), 1789– 1797, 1995. [3] Farebrother, R. W. A class of shrinkage estimators, J. R. Statist. Soc. B 40, 47–49, 1978. [4] Ka¸cıranlar, S., Sakallıo˘glu, S., Akdeniz, F., Styan, G. P. H. and Werner, H. J. A new biased estimator in linear regression and a detailed analysis of the widely-analyzed dataset on Portland Cement, Sankhya: The Indian Journal of Statistics Series B 61, 443–459, 1999.
  • Kejian, L. A new class of biased estimates in linear r, Regression. Com. Statist. - Theory Meth. 22 (2), 393–402, 1993.
  • Liski, E. P. A test of the mean square error criterion for shrinkage estimators, Communi- cations in Statistics 11 (5), 543–562, 1982.
  • Liski, E. P. Choosing a shrinkage estimator - a test of the mean square error criterion, Proc. First Tampere Sem. Linear Models, 245–262, 1983.
  • Norman, L. J. and Samuel, K. Distributions in Statistics (Chapter 26), 1970.
  • Patnaik, P. B. (1949), The non-central Ki-kare and F Distributions and their applications, Biometrika 36, 202–232, 1949.
  • Rao, C. R. Estimation of parameters in a linear model, The Annals of Statistics 4, 1023– 1037, 1976. [11] Sakallıo˘glu, S., Ka¸cıranlar, S. and Akdeniz, F. Bazı Yanlı Regresyon Tahmin Edicilerinin Kar¸sıla¸stırılması., Ara¸stırma Sempozyumu’97 Bildirileri, D˙IE., Ankara, 1997.
  • Searle S. R. Matrix Algebra useful for Statistic (John Wiley and Sons., New York, 1982).
  • Theobald, C. M. Generalizations of mean square error applied to Ridge regression, J. R. Statist. Soc. B 36,103–106, 1974.
  • Toutenburg, H. Prior Information in Linear Models (John Wiley and Sons, New York, 1982).

A Simulation Study of some Shrinkage Estimators

Year 2006, Volume: 35 Issue: 2, 213 - 226, 01.02.2006

References

  • Akdeniz, F. and Erol, H. Mean squared error matrix comparisons of some biased estimators in linear regression, Communications in Statistics - Theory and Methods 32, 2389–2413, 2003.
  • Akdeniz, F. and Ka¸cıranlar, S. On the almost unbiased generalized Liu estimator and un- bised estimation of the bias and MSE, Commun. Statist - Theory and Meth. 24 (7), 1789– 1797, 1995. [3] Farebrother, R. W. A class of shrinkage estimators, J. R. Statist. Soc. B 40, 47–49, 1978. [4] Ka¸cıranlar, S., Sakallıo˘glu, S., Akdeniz, F., Styan, G. P. H. and Werner, H. J. A new biased estimator in linear regression and a detailed analysis of the widely-analyzed dataset on Portland Cement, Sankhya: The Indian Journal of Statistics Series B 61, 443–459, 1999.
  • Kejian, L. A new class of biased estimates in linear r, Regression. Com. Statist. - Theory Meth. 22 (2), 393–402, 1993.
  • Liski, E. P. A test of the mean square error criterion for shrinkage estimators, Communi- cations in Statistics 11 (5), 543–562, 1982.
  • Liski, E. P. Choosing a shrinkage estimator - a test of the mean square error criterion, Proc. First Tampere Sem. Linear Models, 245–262, 1983.
  • Norman, L. J. and Samuel, K. Distributions in Statistics (Chapter 26), 1970.
  • Patnaik, P. B. (1949), The non-central Ki-kare and F Distributions and their applications, Biometrika 36, 202–232, 1949.
  • Rao, C. R. Estimation of parameters in a linear model, The Annals of Statistics 4, 1023– 1037, 1976. [11] Sakallıo˘glu, S., Ka¸cıranlar, S. and Akdeniz, F. Bazı Yanlı Regresyon Tahmin Edicilerinin Kar¸sıla¸stırılması., Ara¸stırma Sempozyumu’97 Bildirileri, D˙IE., Ankara, 1997.
  • Searle S. R. Matrix Algebra useful for Statistic (John Wiley and Sons., New York, 1982).
  • Theobald, C. M. Generalizations of mean square error applied to Ridge regression, J. R. Statist. Soc. B 36,103–106, 1974.
  • Toutenburg, H. Prior Information in Linear Models (John Wiley and Sons, New York, 1982).
There are 11 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

M. Ebegil This is me

F. Gökpinar This is me

M. Ekni This is me

Publication Date February 1, 2006
Published in Issue Year 2006 Volume: 35 Issue: 2

Cite

APA Ebegil, M., Gökpinar, F., & Ekni, M. (2006). A Simulation Study of some Shrinkage Estimators. Hacettepe Journal of Mathematics and Statistics, 35(2), 213-226.
AMA Ebegil M, Gökpinar F, Ekni M. A Simulation Study of some Shrinkage Estimators. Hacettepe Journal of Mathematics and Statistics. February 2006;35(2):213-226.
Chicago Ebegil, M., F. Gökpinar, and M. Ekni. “A Simulation Study of Some Shrinkage Estimators”. Hacettepe Journal of Mathematics and Statistics 35, no. 2 (February 2006): 213-26.
EndNote Ebegil M, Gökpinar F, Ekni M (February 1, 2006) A Simulation Study of some Shrinkage Estimators. Hacettepe Journal of Mathematics and Statistics 35 2 213–226.
IEEE M. Ebegil, F. Gökpinar, and M. Ekni, “A Simulation Study of some Shrinkage Estimators”, Hacettepe Journal of Mathematics and Statistics, vol. 35, no. 2, pp. 213–226, 2006.
ISNAD Ebegil, M. et al. “A Simulation Study of Some Shrinkage Estimators”. Hacettepe Journal of Mathematics and Statistics 35/2 (February 2006), 213-226.
JAMA Ebegil M, Gökpinar F, Ekni M. A Simulation Study of some Shrinkage Estimators. Hacettepe Journal of Mathematics and Statistics. 2006;35:213–226.
MLA Ebegil, M. et al. “A Simulation Study of Some Shrinkage Estimators”. Hacettepe Journal of Mathematics and Statistics, vol. 35, no. 2, 2006, pp. 213-26.
Vancouver Ebegil M, Gökpinar F, Ekni M. A Simulation Study of some Shrinkage Estimators. Hacettepe Journal of Mathematics and Statistics. 2006;35(2):213-26.