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Communications in Statistics - Theory and Methods, 1998
Swindel (1976) introduced a modified ridge regression estimator based on prior information. Sarkar (1992) suggested a new estimator by combining in a particular way the two approaches followed in obtaining the restricted ieast squares and ordinary ndge regression estimators.
Kaçiranlar S. +2 more
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Swindel (1976) introduced a modified ridge regression estimator based on prior information. Sarkar (1992) suggested a new estimator by combining in a particular way the two approaches followed in obtaining the restricted ieast squares and ordinary ndge regression estimators.
Kaçiranlar S. +2 more
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A Tobit Ridge Regression Estimator
Communications in Statistics - Theory and Methods, 2013This article analyzes the effects of multicollienarity on the maximum likelihood (ML) estimator for the Tobit regression model. Furthermore, a ridge regression (RR) estimator is proposed since the mean squared error (MSE) of ML becomes inflated when the regressors are collinear. To investigate the performance of the traditional ML and the RR approaches
G. Khalaf +3 more
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Ridge estimation in logistic regression
Communications in Statistics - Simulation and Computation, 1988The variance of the Maximum Likelihood Estimator (MLE) of the slope parameter in a logistic regression model becomes large as the degree of collinearity among the explanatory variables increases. In a Monte Carlo study, we observed that a ridge type estimator is at least as good as, and often much better than, the MLE in terms of Total and Prediction ...
A. H. Lee, M. J. Silvapulle
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Modified Ridge Regression Estimators
Communications in Statistics - Theory and Methods, 2013Ridge regression is a variant of ordinary multiple linear regression whose goal is to circumvent the problem of predictors collinearity. It gives up the Ordinary Least Squares (OLS) estimator as a method for estimating the parameters [] of the multiple linear regression model [] .
G. Khalaf +2 more
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On Some Ridge Regression Estimators: An Empirical Comparisons
Communications in Statistics - Simulation and Computation, 2009In ridge regression analysis, the estimation of the ridge parameter k is an important problem. Many methods are available for estimating such a parameter. This article reviewed and proposed some estimators based on Kibria (2003) and Khalaf and Shukur (2005).
Gisela Muniz, B. M. Golam Kibria
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Bayesian estimation of the shrinkage parameter in ridge regression
Communications in Statistics - Simulation and Computation, 2019A common problem in the practice of regression analysis is multicollinearity. Its negative effects on the Least Squares estimator are well known.
Luis Firinguetti-Limone +1 more
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POISSON RIDGE REGRESSION ESTIMATORS
Advances and Applications in StatisticsThis paper proposes a new Poisson ridge regression estimator using grid search. The new and known ridge estimators were then compared based on MSE criterion using Monte Carlo simulation. Different values of parameters were considered, such as sample size of greater than or equal to 10; correlation values of 0.85 to 0.99; and number of explanatory ...
Jerson S. Mohamad +2 more
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Restricted ridge estimator in the logistic regression model
Communications in Statistics - Simulation and Computation, 2016ABSTRACTIt is known that when the multicollinearity exists in the logistic regression model, variance of maximum likelihood estimator is unstable. As a remedy, Schaefer et al. presented a ridge estimator in the logistic regression model. Making use of the ridge estimator, when some linear restrictions are also present, we introduce a restricted ridge ...
Yasin Asar, Mohammad Arashi, Jibo Wu
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On ecological regression and ridge estimation
Communications in Statistics - Simulation and Computation, 1995This paper focuses on the development of an ecological regression approach for voter transition estimation, avoiding the arbitrary assumptions in Goodman's classical model of ecological regression (Goodman [1959]). In doing this, we further develop previous attempts made at the ridge regression approach, by applying a modified generalized ridge ...
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Estimating Predictive Variances with Kernel Ridge Regression
2006In many regression tasks, in addition to an accurate estimate of the conditional mean of the target distribution, an indication of the predictive uncertainty is also required. There are two principal sources of this uncertainty: the noise process contaminating the data and the uncertainty in estimating the model parameters based on a limited sample of ...
Cawley, G., Talbot, N., Chapelle, O.
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