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
| Main Authors: | , |
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| Format: | conferenceObject |
| Language: | eng |
| Published: |
2024
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| Subjects: | |
| Online Access: | http://hdl.handle.net/11086/552308 |
| _version_ | 1806011980554698752 |
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| author | Britos, Grisel Maribel Ojeda, Silvia María |
| author_facet | Britos, Grisel Maribel Ojeda, Silvia María |
| author_sort | Britos, Grisel Maribel |
| collection | Repositorio Digital Universitario |
| 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 |
| id | rdu-unc.552308 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2024 |
| record_format | dspace |
| spelling | rdu-unc.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 |
| spellingShingle | Robust estimation Autoregressive process Image processing Britos, Grisel Maribel Ojeda, Silvia María Sensitivity study of estimation methods of the two-dimensional autoregressive model |
| title | 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_short | Sensitivity study of estimation methods of the two-dimensional autoregressive model |
| title_sort | sensitivity study of estimation methods of the two dimensional autoregressive model |
| topic | Robust estimation Autoregressive process Image processing |
| url | http://hdl.handle.net/11086/552308 |
| work_keys_str_mv | AT britosgriselmaribel sensitivitystudyofestimationmethodsofthetwodimensionalautoregressivemodel AT ojedasilviamaria sensitivitystudyofestimationmethodsofthetwodimensionalautoregressivemodel |