Regularized Nonlinear Least Trimmed Squares Estimator in the Presence of Multicollinearity and Outliers

George Kemboi Kirui Keitany
2018 American Journal of Theoretical and Applied Statistics  
This study proposes a regularized robust Nonlinear Least Trimmed squares estimator that relies on an Elastic net penalty in nonlinear regression. Regularization parameter selection was done using a robust cross-validation criterion and estimation through Newton Raphson iteration algorthm for the oprimal model coefficients. Monte Carlo simulation was conducted to verify the theoretical properties outlined in the methodology both for scenarios of presence and absence of multicollinearity and
more » ... ence of outliers. The proposed procedure performed well compared to the NLS and NLTS in a viewpoint of yielding relatively lower values of MSE and Bias. Furthermore, a real data analysis demonstrated satisfactory performance of the suggested technique.
doi:10.11648/j.ajtas.20180704.14 fatcat:gh2imz7ftrhy7iykgytrogjjd4