- https://doi.org/10.1007/bf01901675
Function approximation for incompletely specified regression models
- Mar 1, 1988
- Journal of Classification
- Viktor Brailovsky
This report extends earlier work by Brailovsky on regression theory and methodology, giving particular emphasis to function approximation for incompletely specified models. The interest here is with situations where the form of the regression relation is not known in advance. We discuss several difficulties that arise in using local approximation and linear regression methods, and propose ways to overcome these problems. To aid the data analyst in developing a suitable model, an illustrative table is derived for determining the number of initial explanatory functions justifiable for a given prespecified confidence level. The general approach formulated here is illustrated with an application to medical data. Relevance to classification and possible extensions are discussed.
- # Prespecified Confidence Level
- # Local Linear Regression Methods
- # Linear Regression Methods
- # Local Regression Methods
- # Local Linear Methods
- # Local Approximation Methods
- # Local Linear Regression
- # Local Approximation
- # Prespecified Level
- # Regression Methodology
