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Asymptotic theory for bent-cable regression -- the basic case

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Publication:1888835
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DOI10.1016/j.jspi.2003.09.007zbMath1083.62055OpenAlexW2082999207MaRDI QIDQ1888835

Richard Routledge, Richard A. Lockhart, Grace S. Chiu

Publication date: 29 November 2004

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2003.09.007


zbMATH Keywords

Least-squares estimationAsymptotic theoryChange pointsSegmented regression


Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) General nonlinear regression (62J02)


Related Items

Simultaneous confidence band for the difference of segmented linear models ⋮ Bent-cable quantile regression model ⋮ Bent-cable asymptotics when the bend is missing.



Cites Work

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  • On asymptotic distribution theory in segmented regression problems - identified case
  • Testing appearance of linear trend
  • Limit theorems for a class of tests of gradual changes
  • Bent-cable asymptotics when the bend is missing.
  • Weak convergence and empirical processes. With applications to statistics
  • A New Maximum Likelihood Algorithm for Piecewise Regression
  • Change-Point Estimation as a Nonlinear Regression Problem
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