Measures of Nonlinearity for Segmented Regression Models,

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)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1983
Accession Number
ADA132838

Entities

People

  • Miriam L. Goldberg

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Contracts
  • Data Science
  • Data Sets
  • Energy Conservation
  • Energy Consumption
  • Geometry
  • Information Science
  • Intervals
  • Mathematics
  • New Jersey
  • Probability
  • Segmented
  • Standards
  • Statistics
  • Surfaces
  • United States

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Optical Physics and Photonics.
  • Statistical inference.