The r-k class estimator in generalized linear models applicable with simulation and empirical study using a Poisson and Gamma responses

Multicollinearity is considered to be a significant problem in the estimation of parameters not only general linear models, but also generalized models (GLMs). Thus, order alleviate serious effects multicollinearity new estimator proposed by combining ridge and PCR estimators GLMs. This called r-k class The various comparisons are made with already existing literature, which maximum likelihood (ML) estimator, estimators, respectively. terms scalar MSE criterion. So that, numerical example application through simulation mentioned study for Poisson Gamma response variables, On basis results it found outperforms all its competitors comprehensively.