A new stochastic mixed ridge estimator in linear regression model

Statistische Hefte - Tập 51 Số 2 - Trang 315-323 - 2010
Yalian Li1, Hu Yang1
1Department of Statistics and Actuarial Science, Chongqing University, Chongqing, China

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Akdeniz F, Erol H (2003) Mean squared error matrix comparisons of some biased estimators in linear regression. Comm Stat Theory Methods 32(12): 2389–2413

Baksalary JK, Trenkler G (1991) Nonnegative and positive definiteness of matrices modified by two matrices of rank one. Linear Algebra Appl 151: 169–184

Durbin J (1953) A note on regression when there is extraneous information about one of the coefficients. J Am Stat Assoc 48: 799–808

Farebrother RW (1976) Further results on the mean square error of ridge regression. J Roy Stat Soc Ser 38(B): 248–250

Gruber MHJ (1998) Improving efficiency by Shrinkage: the James-Stein and ridge regression estimators. Marcel Dekker, Inc., New York

Groß J (2003) Restricted ridge estimation. Stat Prob Lett 65: 57–64

Hoerl AE, Kennard RW (1970) Ridge regression: biased estimation for non-orthogonal problems. Technometrics 12: 55–67

Kaciranlar S, Sakallioglus S, Akdeniz F (1998) Mean squared error comparisons of the modified ridge regression estimator and the restricted ridge regression estimator. Comm Stat Theory Methods 27(1): 131–138

Kaciranlar S, Sakallioglu S, Akdeniz F, Styan GPH, Werner HJ (1999) A new biased estimator in linear regression and a detailed analysis of the widely-analysed dataset on Portland Cement. Sankhya Indian J Stat 61(B): 443–459

Liu K. (1993) A new class of biased estimate in linear regression. Comm Stat Theory Methods 22: 393–402

Hubert MH, Wijekoon P (2006) Improvement of the Liu estimator in the linear regression model. Stat Pap 47: 471–479

Rao CR, Toutenburg H (1995) Linear models: least squares and alternatives. Springer, New York

Sarkar N (1992) A new estimator combining the ridge regression and the restricted least squares methods of estimation. Comm Stat Theory Methods 21: 1987–2000

Swindel BF (1976) Good estimators based on prior information. Comm Stat Theory Methods 5: 1065–1075

Stein C (1956) Inadmissibility of the usual estimator for mean of multivariate normal distribution. In: Neyman J (ed) Proceedings of the third berkley symposium on mathematical and statistics probability vol 1, pp 197–206

Theil H, Goldberger AS (1961) On pure and mixed statistical estimation in economics. Intern Econ Rev 2: 65–78

Theil H (1963) On the use of incomplete prior information in regression analysis. J Am Sta Assoc 58: 401–414