A Nonparametric Procedure to Detect Jumps in Regression Surfaces
提出一种局部平滑方法检测回归曲面的跳跃位置曲线，简化了现有跳跃检测器的计算，并推广了图像处理中的Sobel边缘检测器以更好地消除随机噪声，同时引入新的性能度量。
AbstractThis article proposes a local smoothing procedure for detecting jump location curves of regression surfaces. This procedure simplifies the computation of some existing jump detectors in the statistical literature. It also generalizes the Sobel edge detector in the image processing literature such that more observations can be used to smooth away random noise in the data. The problem to evaluate the performance of jump detectors is discussed and a new measurement of jump detection performance is suggested.Key Words: Edge detectionHausdorff distanceKernel estimationPerformance measurementSingular pointsSobel edge detectorStrong consistency