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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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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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The moments of the operational almost unbiased ridge regression estimator [PDF]
In this paper, we derive the exact general expressions for the moments of the Lawless-Wang's operational almost unbiased ridge regression (AUGRR) estimator for individual regression coefficients. © 2003 Elsevier Inc.
Güzin Yuksel, Alan T K Wan
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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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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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Minimax Linear Regression Estimators With Application to Ridge Regression
Technometrics, 1982This article considers minimax linear estimation of β in the multiple linear-regression model Y = Xβ + ξ. Some results from European publications are referenced and summarized and some new results are given. These minimax estimators of β can also be classified as ridgeregression estimators with nonstochastic ridge parameters.
Lawrence Peele, Thomas P. Ryan
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ROBUST RIDGE REGRESSION BASED ON AN M‐ESTIMATOR
Australian Journal of Statistics, 1991SummaryConsider the linear regression model y=β01 +Xβ+ in the usual notation. It is argued that the class of ordinary ridge estimators obtained by shrinking the least squares estimator by the matrix (X1X + kI)‐1X'X is sensitive to outliers in the ^variable.
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Ridge Regression Estimation for Survey Samples
Communications in Statistics - Theory and Methods, 2008This paper describes procedure for constructing a vector of regression weights. Under the regression superpopulation model, the ridge regression estimator that has minimum model mean squared error is derived. Through a simulation study, we compare the ridge regression weights, regression weights, quadratic programming weights, and raking ratio weights.
Mingue Park, Min Yang
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