The parameters in the Poisson regression model are usually estimated using the maximum likelihood estimator (MLE). MLE suffers a breakdown when there is either multicollinearity or outliers in the Poisson regression model.
Kingsley C Arum +2 more
doaj +3 more sources
New robust estimator for handling outliers and multicollinearity in gamma regression model with application to breast cancer data [PDF]
The gamma regression model (GRM) is commonly used to analyze continuous data that are positively skewed. However, the GRM is sensitive to multicollinearity and outliers. These two problems often occur in regression analysis.
Arwa M. Alshangiti +7 more
doaj +2 more sources
Development of the generalized ridge estimator for the Poisson-Inverse Gaussian regression model with multicollinearity [PDF]
The Poisson-Inverse Gaussian regression model is a widely used method for analyzing count data, particularly in over-dispersion. However, the reliability of parameter estimates obtained through maximum likelihood estimation in this model can be ...
Fatimah A. Almulhim +5 more
doaj +2 more sources
Modified Ridge Estimator for Poisson Regression
Poisson regression is a statistical model used to model the relationship between a count-valued-dependent variable and one or more independent variables. A frequently encountered problem when modeling such relationships is multicollinearity, which occurs
Shuaib Mursal Ibrahim, Aydın Karakoca
doaj +3 more sources
An efficient generalized ridge estimator for logistic regression model
In the logistic regression model (LRM), the maximum likelihood estimator (MLE) is commonly employed to estimate unknown model parameters. However, when substantial multicollinearity exists among the explanatory variables, the MLE produces unstable ...
Ахмед Мутлаг Алгбури
doaj +3 more sources
Poisson Ridge Regression Estimators: A Performance Test [PDF]
In Multiple regression analysis, it is assumed that the independent variables are uncorrelated with one another, when such happen, the problem of multicollinearity occurs. Multicollinearity can create inaccurate estimates of the regression coefficients, inflate the standard errors of the regression coefficients, deflate the partial t-tests for the ...
Etaga Harrison Oghenekevwe +3 more
openalex +3 more sources
Bootstrap-quantile ridge estimator for linear regression with applications.
Bootstrap is a simple, yet powerful method of estimation based on the concept of random sampling with replacement. The ridge regression using a biasing parameter has become a viable alternative to the ordinary least square regression model for the ...
Irum Sajjad Dar, Sohail Chand
doaj +3 more sources
A bias-reduced estimator for generalized Poisson regression with application to carbon dioxide emission in Canada [PDF]
The generalized Poisson regression model (GPRM) provides a flexible framework for modeling count data, especially those exhibiting over- or underdispersion.
Fatimah M. Alghamdi +6 more
doaj +2 more sources
Ridge regression and its applications in genetic studies.
With the advancement of technology, analysis of large-scale data of gene expression is feasible and has become very popular in the era of machine learning. This paper develops an improved ridge approach for the genome regression modeling.
M Arashi +3 more
doaj +1 more source
Monitoring pilots' mental workload in real flight conditions using multinomial logistic regression with a ridge estimator. [PDF]
Haseeb M +5 more
europepmc +3 more sources

