Variable selection by stepwise slicing in nonparametric regression
β Scribed by K.B. Kulasekera
- Book ID
- 104301542
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 146 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
β¦ Synopsis
We consider variable selection issue in a nonparametric regression setting. Two stepwise procedures based on variance estimators are proposed for selecting the signiΓΏcant variables in a general nonparametric regression model. These procedures do not require multidimensional smoothing at intermediate steps and they are based on formal tests of hypotheses as opposed to existing methods in the literature. Asymptotic properties are examined and empirical results are given.
π SIMILAR VOLUMES
We develop a nonparametric test, based on kernel smoothers, in order to decide whether some covariates could be suppressed in a multidimensional nonparametric regression study. We give the asymptotic distribution of the statistic involved in our test, under a general dependence assumption on the sam