A jump-detecting procedure based on spline estimation
نویسندگان
چکیده
In a random-design nonparametric regression model, procedures for detecting jumps in the regression function via constant and linear spline estimation method are proposed based on the maximal differences of the spline estimators among neighbouring knots, the limiting distributions of which are obtained when the regression function is smooth. Simulation experiments provide strong evidence that corroborates with the asymptotic theory, while the computing is extremely fast. The detecting procedure is illustrated by analysing the thickness of pennies data set.
منابع مشابه
Jump Surface Estimation, Edge Detection, And Image Restoration
Surface estimation is important in many applications. When conventional smoothing procedures, such as the running averages, local polynomial kernel smoothing procedures, and smoothing spline procedures, etc., are used for estimating jump surfaces from noisy data, jumps would be blurred at the same time when noise is removed. In recent years, new smoothing methodologies have been proposed in the...
متن کاملEstimation of Piecewise-smooth Functions by Amalgamated Bridge Regression Splines
We consider nonparametric estimation of a one-dimensional piecewise-smooth function observed with white Gaussian noise on an interval. We propose a two-step estimation procedure, where one first detects jump points by a wavelet-based procedure and then estimates the function on each smooth segment separately by bridge regression splines. We prove the asymptotic optimality (in the minimax sense)...
متن کاملEstimation of PC-MRI Pressure Map Using Integral Form of Governing Equations and Spline Segments
In this paper, the boundary-based estimation of pressure distribution in the cardiovascular system is investigated using two dimensional flow images. The conventional methods of non-invasive estimation of pressure distribution in the cardiovascular flow domain use the differential form of governing equations. This study evaluates the advantages of using the integral form of the equations in the...
متن کاملEstimation of PC-MRI Pressure Map Using Integral Form of Governing Equations and Spline Segments
In this paper, the boundary-based estimation of pressure distribution in the cardiovascular system is investigated using two dimensional flow images. The conventional methods of non-invasive estimation of pressure distribution in the cardiovascular flow domain use the differential form of governing equations. This study evaluates the advantages of using the integral form of the equations in the...
متن کاملJump Detection in Regression Surfaces Using Both First-Order and Second-Order Derivatives
We consider the problem of detecting jump location curves of regression surfaces. In the literature, most existing methods detect jumps in regression surfaces based on estimation of either the first-order or the second-order derivatives of regression surfaces. Methods based on the first-order derivatives are usually better in removing noise, whereas methods based on the second-order derivatives...
متن کامل