Abstract
This research is focusing on methods related to smoothing Nonparametric Regression Functions. This is for the purpose of producing the best methods convenient for various methods. Thus, the most important purpose of the research is to find what the studies so far have offered in the field of Nonparametric Regression. Also to find alternative or modified methods, which are reliable for the treatment of failure regarding the methods in use, for example for the treatment of failure for penalized shrinkage method which depends on truncated Polynomial Regression spline model, especially for special models ,we suggest modification of knots make method more efficiency.
A simulation model has been performed with different distributions, for a number of methods. To verify the performance of such methods, many criteria have been carried out.