In a nonparametric regression model with a multivariate explanatory variable we consider the problem of testing the hypothesis that specific interactions in a canonical decomposition of the model vanish. A simple consistent test is developed which is based on the difference between the corresponding
Model Specification Tests in Nonparametric Stochastic Regression Models
β Scribed by Jiti Gao; Howell Tong; Rodney Wolff
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 235 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0047-259X
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β¦ Synopsis
In this paper, we consider testing for additivity in a class of nonparametric stochastic regression models. Two test statistics are constructed and their asymptotic distributions are established. We also conduct a small sample study for one of the test statistics through a simulated example.
π SIMILAR VOLUMES
## Abstract In regression model with stochastic design, the observations have been primarily treated as a simple random sample from a bivariate distribution. It is of enormous practical significance to generalize the situation to stochastic processes. In this paper, estimation and hypothesis testin