Sensitivity study of estimation methods of the two-dimensional autoregressive model
Ponencia presentada en el Sexto Congreso de Matemática Aplicada, Computacional e Industrial 2 al 5 de mayo de 2017 – Comodoro Rivadavia, Chubut, Argentina - VI MACI 2017
| Autores principales: | , |
|---|---|
| Formato: | conferenceObject |
| Lenguaje: | Inglés |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/11086/552308 |
| Aporte de: |
| id |
I10-R141-11086-552308 |
|---|---|
| record_format |
dspace |
| spelling |
I10-R141-11086-5523082024-07-12T18:10:42Z Sensitivity study of estimation methods of the two-dimensional autoregressive model Britos, Grisel Maribel Ojeda, Silvia María Robust estimation Autoregressive process Image processing Ponencia presentada en el Sexto Congreso de Matemática Aplicada, Computacional e Industrial 2 al 5 de mayo de 2017 – Comodoro Rivadavia, Chubut, Argentina - VI MACI 2017 Fil: Britos, Grisel Maribel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Ojeda, Silvia María. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. In this paper we present an estimator of the parameters of an AR-2D model that is an extension of an estimator presented for autoregressive models in time series. It uses an auxiliary model (BIP-AR) that limits the propagation of noise in an AR process. In addition, we present an analysis of the behavior of these new estimator (BMM-2D) and others estimators for the case of AR-2D processes contaminated by Gaussian noise. We also show an application to the image processing obtaining favorable results for our estimator. Computational implementation is carried out by R statistical software. Fil: Britos, Grisel Maribel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Ojeda, Silvia María. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Estadística y Probabilidad 2024-06-14T18:42:24Z 2024-06-14T18:42:24Z 2017 conferenceObject http://hdl.handle.net/11086/552308 eng Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ Electrónico y/o Digital |
| institution |
Universidad Nacional de Córdoba |
| institution_str |
I-10 |
| repository_str |
R-141 |
| collection |
Repositorio Digital Universitario (UNC) |
| language |
Inglés |
| topic |
Robust estimation Autoregressive process Image processing |
| spellingShingle |
Robust estimation Autoregressive process Image processing Britos, Grisel Maribel Ojeda, Silvia María Sensitivity study of estimation methods of the two-dimensional autoregressive model |
| topic_facet |
Robust estimation Autoregressive process Image processing |
| description |
Ponencia presentada en el Sexto Congreso de Matemática Aplicada, Computacional e Industrial
2 al 5 de mayo de 2017 – Comodoro Rivadavia, Chubut, Argentina - VI MACI 2017 |
| format |
conferenceObject |
| author |
Britos, Grisel Maribel Ojeda, Silvia María |
| author_facet |
Britos, Grisel Maribel Ojeda, Silvia María |
| author_sort |
Britos, Grisel Maribel |
| title |
Sensitivity study of estimation methods of the two-dimensional autoregressive model |
| title_short |
Sensitivity study of estimation methods of the two-dimensional autoregressive model |
| title_full |
Sensitivity study of estimation methods of the two-dimensional autoregressive model |
| title_fullStr |
Sensitivity study of estimation methods of the two-dimensional autoregressive model |
| title_full_unstemmed |
Sensitivity study of estimation methods of the two-dimensional autoregressive model |
| title_sort |
sensitivity study of estimation methods of the two-dimensional autoregressive model |
| publishDate |
2024 |
| url |
http://hdl.handle.net/11086/552308 |
| work_keys_str_mv |
AT britosgriselmaribel sensitivitystudyofestimationmethodsofthetwodimensionalautoregressivemodel AT ojedasilviamaria sensitivitystudyofestimationmethodsofthetwodimensionalautoregressivemodel |
| _version_ |
1806948463417491456 |