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Optimal design for local fitting
Institution:1. Institut national de Recherche en Sciences et Technologies pour l''Environnement et l''Agriculture (IRSTEA), UMR TETIS, Montpellier, France;2. Centre d''Etudes Spatiales de la BIOsphere (CESBIO), UMR CNRS 5126, University of Paul Sabatier, Toulouse, France;3. Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milano, Italy;4. Laboratoire Evolution et Diversite Biologique, UMR CNRS 5174, University of Paul Sabatier, Toulouse, France;5. French Institute of Pondicherry, UMIFRE 21/USR 3330 CNRS-MAEE, Pondicherry, India;6. School of Geography, University of Leeds, University Road, Leeds LS2 9JT, UK;7. Geography, College of Life and Environmental Sciences, University of Exeter, UK;8. Office National d''Etudes et de Recherches Aerospatiales (ONERA), Toulouse, France;9. European Space Research and Technology Centre (ESTEC), Noordwijk, the Netherlands;1. Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA 91109, United States;2. USDA Forest Service, International Institute of Tropical Forestry, Rio Piedras, Puerto Rico, EMBRAPA Agriculture Informatics, Campinas, SP, Brazil;3. Canopy Remote Sensing Solutions, Florianopolis, SC, Brazil;4. Google Cloud AI, Sunnyvale, CA 94089, United States;1. State Key Laboratory of Remote Sensing Science, Institute of Remote Sensing and Digital Earth, Chinese Academy of Sciences, Beijing 100101, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. Department of Geographical Sciences, University of Maryland, College Park, MD 20742, USA;4. Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China
Abstract:This paper provides optimal design strategies for local (polynomial) fitting by the so-called moving local regression, a well-known nonparametric statistical tool. A Kiefer—Wolfowitz type equivalence theorem is formulated. Some examples are employed to illustrate the relations and differences to parametric techniques.
Keywords:
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