Set Identified Linear Models
Datos Bibliográficos
| ID | 19035170 |
|---|---|
| Autores | Christian Bontemps (autor de correspondencia), Thierry Magnac, Éric Maurin (0000-0002-8721-3943) |
| Año | 2012 |
| Volumen | 80 |
| Número | 3 |
| Páginas | 1129-1155 |
| Fecha de publicación | 2012-01-01 |
| Peer Reviewed | Sí |
| Open Access | Sí |
| Tipo | ARTICLE |
| Revista | Econometrica (JOURNAL) |
| Identificadores de la revista | ISSN: 0012-9682 • E-ISSN: 1468-0262 |
| Editorial | Wiley (PUBLISHER • GB) |
| DOI | 10.3982/ecta7637 |
| OpenAlex | W2113268837 |
| Idioma | EN |
| Citas recibidas | 3 |
| Referencias citadas | 2 |
Before quoting, please ask for the fully revised version We analyze the identification and estimation of parameters β satisfying the incomplete linear moment restrictionsE(z>(xβ−y)) = E(z>u(x))where z is a set of instruments and u(z) an unknown bounded scalar function. We first provide empirically relevant examples of such a set-up. Second, we show that these conditions set identify β where the identified set B is bounded and convex. We provide a sharp characterization of the identified set not only when the number of moment conditions is equal to the number of parameters of interest but also in the case in which the number of conditions is strictly larger than the number of parameters. We derive a necessary and sufficient condition of the validity of supernumerary restrictions, which generalizes the familiar Sargan condition. Third, we provide new results on the asymptotics of analog estimates. When B is a strictly convex set, we also construct a test of the null hypothesis, β0 ∈ B, whose level is asymptotically exact and which relies on the minimization of the support function of the set B −{β0}. Inverting this test makes it possible to construct confidence regions with uniformly exact coverage probabilities. Results of some Monte Carlo experiments are presented
Bounded function · Combinatorics · Convex optimization · Convex set · Estimator · Mathematical analysis · Mathematical optimization · Monte Carlo method · Regular polygon · Statistics · Advanced Statistical Methods and Models · Computer Science · Control Systems and Identification · Mathematics · Statistical Methods and Inference · Applied Mathematics
| Obras citantes distintas | 3 |
|---|---|
| Citas por año | 0,23 |
| Intervalo de citas | 2013 - 2024 (12) |
| Velocidad de citación | recent |
| Altamente citado | No |
| Tipos de cita | Neutras: 3 |