Accession Number : ADA132838

Title :   Measures of Nonlinearity for Segmented Regression Models,

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Goldberg,Miriam L

PDF Url : ADA132838

Report Date : Aug 1983

Pagination or Media Count : 45

Abstract : A simple physical model of residential energy consumption provides the framework for an exploration of segmented regression models fit by least squares. The energy model is a generalization of a linear, single change-point model such as that considered by Hinkley. Some simple geometric measures of nonlinearity and nondifferentiability are proposed. These measures are related to the construction of approximate confidence regions for the parameters of a general segmented model. In addition, the relation shown between these measures and those proposed by Bates and Watts may be useful in analyzing continuously differentiable models. (Author)

Descriptors :   *Mathematical models, *Regression analysis, *Nonlinear analysis, *Energy consumption, Segmented, Least squares method, Geometry, Confidence limits, Asymptotic normality, Curvature, Residential section, Heating

Subject Categories : Economics and Cost Analysis
      Energy Storage
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE