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Change points in nonparametric regresion functions
Authors:CT Jose  B Ismall
Institution:Department of Statistics , Mangalore University , Managalore, 574 199, India E-mail: ismail@mnglr.ernet.in
Abstract:Estimators of location and size of jumps or discontinuities in a regression function and/or its derivatives are proposed. The estimators are based on the analysis of residuals obtained from the locally weighted least squares regression. The proposed estimators adapt to both fixed and random designs. The asymptotic properties of the estimators are investigated. The method is illustrated through simulation studies.
Keywords:discontinuity  jump point  kernel estimator  local polynomial regression  nonparametric regression  residual analysis
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