eprintid: 48208 rev_number: 4 eprint_status: archive userid: 1482 importid: 105 dir: disk0/00/04/82/08 datestamp: 2023-09-15 14:16:55 lastmod: 2023-09-15 14:16:55 status_changed: 2023-09-15 14:16:55 type: monograph metadata_visibility: show creators_name: Beyhum, Jad creators_name: Lapenta, Elia creators_name: Lavergne, Pascal creators_idrefppn: 255581564 creators_idrefppn: 255142803 creators_idrefppn: 177855533 creators_affiliation: Toulouse School of Economics; Université Toulouse Capitole creators_halaffid: 1002422 creators_halaffid: 1002422 title: One-step nonparametric instrumental regression using smoothing splines ispublished: pub subjects: subjects_ECO abstract: We extend nonparametric regression smoothing splines to a context where there is endogeneity and instrumental variables are available. Unlike popular existing es-timators, the resulting estimator is one-step and relies on a unique regularization parameter. We derive uniform rates of the convergence for the estimator and its first derivative. We also address the issue of imposing monotonicity in estimation. Sim-ulations confirm the good performances of our estimator compared to some popular two-step procedures. Our method yields economically sensible results when used to estimate Engel curves. date: 2023-08 date_type: published publisher: TSE Working Paper official_url: http://tse-fr.eu/pub/128467 faculty: tse divisions: tse keywords: Instrumental variables keywords: Nonparametric regression keywords: Smoothing splines language: en has_fulltext: TRUE view_date_year: 2023 full_text_status: public monograph_type: working_paper series: TSE Working Paper volume: 23-1467 place_of_pub: Toulouse pages: 30 institution: Université Toulouse Capitole department: Toulouse School of Economics book_title: TSE Working Paper oai_identifier: oai:tse-fr.eu:128467 harvester_local_overwrite: department harvester_local_overwrite: pending harvester_local_overwrite: creators_idrefppn harvester_local_overwrite: creators_halaffid harvester_local_overwrite: institution harvester_local_overwrite: place_of_pub harvester_local_overwrite: pages oai_lastmod: 2023-09-13T06:40:31Z oai_set: tse site: ut1 citation: Beyhum, Jad , Lapenta, Elia and Lavergne, Pascal (2023) One-step nonparametric instrumental regression using smoothing splines. TSE Working Paper, n. 23-1467, Toulouse document_url: https://publications.ut-capitole.fr/id/eprint/48208/1/wp_tse_1467.pdf