Applications of Nonparametric Smoothing

Nonparametric Smoothing and Lack-of-Fit Tests

A solution to get the problem off, have you found it? Really? What kind of solution do you resolve the problem? From what sources? Well, there are so many questions that we utter every day. No matter how you will get the solution, it will mean better. You can take the reference from some books. And the nonparametric smoothing and lack of fit tests is one book that we really recommend you to rea...

On Local Smoothing of Nonparametric Curve Estimators

We begin by analyzing the local adaptation properties of wavelet-based curve estimators. It is argued that while wavelet methods enjoy outstanding adaptability in terms of the manner in which they capture irregular episodes in a curve, they are not nearly as adaptive when considered from the viewpoint of tracking more subtle changes in a smooth function. We point out that while this problem may...

Optimal Smoothing in Nonparametric Mixed-Effect Models

Mixed-effect models are widely used for the analysis of correlated data such as longitudinal data and repeated measures. In this article, we study an approach to the nonparametric estimation of mixed-effect models. We consider models with parametric random effects and flexible fixed effects, and employ the penalized least squares method to estimate the models. The issue to be addressed is the s...

Review : Nonparametric Simple Regression : Smoothing Scatterplots

Incorporating Extra Information in Nonparametric Smoothing

Nonparametric estimation of conditional mean functions has been studied extensively in the literature. This paper addresses the question of how to use extra informations to improve the estimation. Particularly, we consider the situation that the conditional mean function E(Z | X ) is of interest and there is an auxiliary variable available which is correlated with both X and Z. A two-stage kern...