References
- Bowman, A .W. and Pope, A. (2006). Detecting discontinuities in nonparametric regression curves and surfaces, Statistics & Computing, 16, 377–390.
- Burt, D. A. (2000). Bandwidth selection concerns for jump point discontinuity preservation in the regression setting using M-smoothers and the extension to hypothesis testing, Ph. D. dissertation, Virginia Polytechnic Institute and State University, Department of Statistics.
- Chu, C. K., Glad, I. K., Godtliebsen, F. and Marron, J. S. (1998). Edge preserving smoothers for image processing (with discussion). Journal of the American Statistical Association, 93, 526–556.
- Gijbels, I. and Goderniaux, A. C. (2004). Bandwidth selection for change point estimation in nonparametric regression, Technometics, 46, 76–86
- Gijbels, I., Lambert, A. and Qiu, P. (2007). Jump-preserving regression and smoothing using local linear fitting: a compromise, Annals of the Institute of Statistical Mathematics, 59, 235–272.
- Park, D. (2008). Estimation of jump points in nonparametric regression, Communications of the Korean Statistical Society, 15, 899–908. https://doi.org/10.5351/CKSS.2008.15.6.899
- Park, D. (2009a). Comparison of Jump-Preserving Smoothing and Smoothing based on Jump Detector, Communications of the Korean Statistical Society, 16, 519–528. https://doi.org/10.5351/CKSS.2009.16.3.519
- Park, D. (2009b). Comparison of finite sample properties of jump detectors, Unpublished Manuscript.
- Qiu, P. (2005). Image Processing and Jump Regression Analysis, John Wiley & Sons, New Jersey.
- Rue, H., Chu, C. K., Godtliebsen, F. and Marron, J. S. (2002). M-smoother with local linear fit, Journal of Nonparametric Statistics, 14, 155–168.
- Simpson, D. G., He, X. and Liu, Y. (1998). Comment on Edge-preserving smoothers for image processing by Chu, Glad, Godtliebsen, and Marron, Journal of the American Statistical Association, 93, 544–548.
- Wu, J. S. and Chu, C. K. (1993a). Kernel type estimators of jump points and values of a regression function, The Annals of Statistics, 21, 1545–1566.
- Wu, J. S. and Chu, C. K. (1993b). Nonparametric function estimation and bandwidth selection for discontinuous regression functions, Statistica Sinica, 3, 557–576.