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Minimax Ridge Regression Estimation. [PDF]

open access: yesThe Annals of Statistics, 1977
The technique of ridge regression, first proposed by Hoerl and Kennard, has become a popular tool for data analysts faced with a high degree of multicollinearity in their data. By using a ridge estimator, one hopes to both stabilize one's estimates (lower the condition number of the design matrix) and improve upon the squared error loss of the least ...
openaire   +2 more sources

Robust weighted ridge regression based on S – estimator

open access: yesAfrican Scientific Reports, 2023
Ordinary least squares (OLS) estimator performance is seriously threatened by correlated regressors often called multicollinearity. Multicollinearity is a situation when there is strong relationship between any two exogenous variables.
Taiwo Stephen Fayose   +3 more
doaj   +1 more source

Boosting Ridge Regression [PDF]

open access: yes, 2005
Ridge regression is a well established method to shrink regression parameters towards zero, thereby securing existence of estimates. The present paper investigates several approaches to combining ridge regression with boosting techniques.
Binder, Harald, Tutz, Gerhard
core   +1 more source

Comparison of regression models under multi-collinearity [PDF]

open access: yes, 2018
Multicollinearity is a major problem in linear regression analysis and several methods exists in the literature to deal with the same. Ridge regression is one of the most popular methods to overcome the problem followed by Generalized Ridge Regression ...
Srinivasan, Rangasami M.; Department of Statistics, University of Madras   +2 more
core   +1 more source

Treating Multicollinearity Problem Using Gool Programming Technique [PDF]

open access: yesThe Egyptian Statistical Journal, 2011
Multiple regression analysis is usually efficient for prediction, but often produces poor results because of the multicollinearity among the independent variables.
Afaf El-Dash   +2 more
doaj   +1 more source

Modified Kibria-Lukman (MKL) estimator for the Poisson Regression Model: application and simulation [version 2; peer review: 2 approved, 1 approved with reservations]

open access: yesF1000Research, 2021
Background: Multicollinearity greatly affects the Maximum Likelihood Estimator (MLE) efficiency in both the linear regression model and the generalized linear model. Alternative estimators to the MLE include the ridge estimator, the Liu estimator and the
Olukayode Adebimpe   +4 more
doaj   +1 more source

On the Performance of Jackknife Based Estimators for Ridge Regression

open access: yesIEEE Access, 2021
تُستخدم تقنيات الانحدار بشكل عام للتنبؤ بمتغير الاستجابة باستخدام متغير تنبؤ واحد أو أكثر. في العديد من مجالات الدراسة، يمكن أن تكون الانحدارات مترابطة للغاية، مما يؤدي إلى مشكلة الخطية المتعددة. وبالتالي، تصبح تقديرات المربعات الصغرى العادية غير متسقة وتؤدي إلى استنتاجات خاطئة. للتعامل مع المشكلة، تُستخدم تقنيات التعلم الآلي على وجه الخصوص، نهج انحدار
Ismail Shah   +5 more
openaire   +3 more sources

Ordinal Ridge Regression with Categorical Predictors [PDF]

open access: yes, 2011
In multi-category response models categories are often ordered. In case of ordinal response models, the usual likelihood approach becomes unstable with ill-conditioned predictor space or when the number of parameters to be estimated is large relative to ...
Zahid, Faisal Maqbool
core   +1 more source

Two-Parameter Modified Ridge-Type M-Estimator for Linear Regression Model

open access: yesThe Scientific World Journal, 2020
The general linear regression model has been one of the most frequently used models over the years, with the ordinary least squares estimator (OLS) used to estimate its parameter.
Adewale F. Lukman   +3 more
doaj   +1 more source

Ridge Estimation for Multinomial Logit Models with Symmetric Side Constraints [PDF]

open access: yes, 2009
In multinomial logit models, the identifiability of parameter estimates is typically obtained by side constraints that specify one of the response categories as reference category.
Tutz, Gerhard, Zahid, Faisal Maqbool
core   +1 more source

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