Inverse Multiquadratic Functions as Nonlinear Effects in Logistic Regression Models

Logistic regression models in classification problems by assuming the linear effects of covariates is a modeling for class membership posterior probabilities. The main problem that includes nonlinear combinations of covariates is maximum likelihood estimation (MLE) of the model parameters. In recent investigations، an approach of solving this problem is combination of neural networks، evolutionary algorithms and MLE methods. In this paper، another type of radial basis functions، namely inverse multiquadratic functions and hybrid method، are considered for estimating the parameters of these models. The experimental results of comparing the proposed models show that the inverse multiquadratic functions compared to the Gaussian functions have better precision in classification problems.