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Generalized ridge regression versus simple ridge regression for generation of kinetic parametric images in PET

1999 IEEE Nuclear Science Symposium. Conference Record. 1999 Nuclear Science Symposium and Medical Imaging Conference (Cat. No.99CH37019), 2003
Weighted linear regression (WLR) is computationally efficient for generating parametric images in dynamic PET studies. However, due to high noise level of pixel kinetics, parametric images estimated by WLR usually have high variability. The authors have shown earlier that, for image-wise model fitting, the incorporation of simple ridge regression and ...
null Yun Zhou   +2 more
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Generalized ridge regression: a note on negative ridge parameters

Communications in Statistics - Theory and Methods, 1983
Generalized ridge regression is extended to include negative values of the ridge parameter. In doing so, classes of biased estimators and estimators obtained by variable selection proce¬dures can be formulated as ridge estimators having stochastic, possibly negative, ridge parameter values.
Tsushung A. Hua, Richard F. Gunst
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A Generalized Stochastic Restricted Ridge Regression Estimator

Communications in Statistics - Theory and Methods, 2014
In this article, we introduce a new stochastic restricted estimator for the unknown vector parameter in the linear regression model when stochastic linear restrictions on the parameters hold. We show that the new estimator is a generalization of the ordinary mixed estimator (OME), Liu estimator (LE), ordinary ridge estimator (ORR), (k-d) class ...
M. I. Alheety, B. M. Golam Kibria
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Optimization of Generalized $$C_p$$ Criterion for Selecting Ridge Parameters in Generalized Ridge Regression

2020
In a generalized ridge (GR) regression, since a GR estimator (GRE) depends on ridge parameters, it is important to select those parameters appropriately. Ridge parameters selected by minimizing the generalized \(C_p\) (\(GC_p\)) criterion can be obtained as closed forms.
Mineaki Ohishi   +2 more
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The feasible generalized restricted ridge regression estimator

Journal of Statistical Computation and Simulation, 2016
ABSTRACTThe presence of autocorrelation in errors and multicollinearity among the regressors have undesirable effects on the least-squares regression. There are a wide range of methods which are proposed to overcome the usefulness of the ordinary least-squares estimator or the generalized least-squares estimator, such as the Stein-rule, restricted ...
Özbay N., Kaçıranlar S., Dawoud I.
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