Estimation of Jump Regression Curves

  1. Peihua Qiu

Published Online: 20 MAY 2005

DOI: 10.1002/0471733156.ch3

Image Processing and Jump Regression Analysis

Image Processing and Jump Regression Analysis

How to Cite

Qiu, P. (2005) Estimation of Jump Regression Curves, in Image Processing and Jump Regression Analysis, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471733156.ch3

Publication History

  1. Published Online: 20 MAY 2005
  2. Published Print: 14 JAN 2005

ISBN Information

Print ISBN: 9780471420996

Online ISBN: 9780471733157

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Keywords:

  • jump regression functions;
  • one-sided kernel estimators;
  • local piecewise-linear kernel estimation

Summary

This chapter first formulates the one-dimentional jump regression problem, and then introduces various methodologies for: (i) jump detection when the number of jumps is known, (ii) jump detection when the number of jumps is unknown, and (iii) jump-preserving curve estimation. Some discussions are provided about the procedures discussed in this chapter, and about some open research problems on one-dimensional jump regression analysis.