Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability
This present work aims to propose an estimator in order to estimate the probability of success of a binomial model that incorporates the extrabinomial variation generated by zero-inflated samples. The construction of this estimator was carried out with a theoretical basis given by the Holder functio...
- Autores:
-
Da Silva, Augusto Maciel
Cirillo, Marcelo Angelo
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2015
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66543
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66543
http://bdigital.unal.edu.co/67571/
- Palabra clave:
- 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Binomial Distribution
Monte Carlo simulation
Robust Estimator
Robustness
Distribución binomial
Estimador robusto
Simulación Monte Carlo
Robustez.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Da Silva, Augusto Maciel31a8a305-dd70-4f19-8c34-839688d98551300Cirillo, Marcelo Angeloc1a49e96-af08-48f6-895a-9d3ba8adb0c23002019-07-03T02:20:21Z2019-07-03T02:20:21Z2015-01-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66543http://bdigital.unal.edu.co/67571/This present work aims to propose an estimator in order to estimate the probability of success of a binomial model that incorporates the extrabinomial variation generated by zero-inflated samples. The construction of this estimator was carried out with a theoretical basis given by the Holder function and its performance was evaluated through Monte Carlo simulation considering different sample sizes, parametric values (π), and excess of zero proportions (γ). It was concluded that for the situations in (γ = 0.20) and (γ = 0.50) that the proposed estimator presents promising results based on the specified margin of error.El presente trabajo tiene como objetivo proponer un estimador para estimar la probabilidad de éxito de un modelo binomial que incorpora la variación extra-binomial generada por muestras cero-inflados. La construcción de este estimador se llevó a cabo con una base teórica dada por la función Holder y su desempeño fue evaluado a través de la simulación de Monte Carlo considerando diferentes tamaños de muestra, valores paramétricos (), y el exceso de proporciones cero ( ). Se concluyó que para las situaciones en ( = 0,20) y ( = 0,50) que el estimador propuesto presenta resultados prometedores basados en el margen de error especificado.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/48803Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaDa Silva, Augusto Maciel and Cirillo, Marcelo Angelo (2015) Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability. Revista Colombiana de Estadística, 38 (1). pp. 93-105. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsBinomial DistributionMonte Carlo simulationRobust EstimatorRobustnessDistribución binomialEstimador robustoSimulación Monte CarloRobustez.Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial VariabilityArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL48803-239296-1-PB.pdfapplication/pdf596795https://repositorio.unal.edu.co/bitstream/unal/66543/1/48803-239296-1-PB.pdf01d31c7e515616214d48df5968027583MD51THUMBNAIL48803-239296-1-PB.pdf.jpg48803-239296-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5539https://repositorio.unal.edu.co/bitstream/unal/66543/2/48803-239296-1-PB.pdf.jpg484151a5bb57254b61be6b721ac7dfbfMD52unal/66543oai:repositorio.unal.edu.co:unal/665432024-05-16 23:09:42.324Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability |
| title |
Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability |
| spellingShingle |
Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability 51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Binomial Distribution Monte Carlo simulation Robust Estimator Robustness Distribución binomial Estimador robusto Simulación Monte Carlo Robustez. |
| title_short |
Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability |
| title_full |
Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability |
| title_fullStr |
Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability |
| title_full_unstemmed |
Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability |
| title_sort |
Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability |
| dc.creator.fl_str_mv |
Da Silva, Augusto Maciel Cirillo, Marcelo Angelo |
| dc.contributor.author.spa.fl_str_mv |
Da Silva, Augusto Maciel Cirillo, Marcelo Angelo |
| dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics |
| topic |
51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Binomial Distribution Monte Carlo simulation Robust Estimator Robustness Distribución binomial Estimador robusto Simulación Monte Carlo Robustez. |
| dc.subject.proposal.spa.fl_str_mv |
Binomial Distribution Monte Carlo simulation Robust Estimator Robustness Distribución binomial Estimador robusto Simulación Monte Carlo Robustez. |
| description |
This present work aims to propose an estimator in order to estimate the probability of success of a binomial model that incorporates the extrabinomial variation generated by zero-inflated samples. The construction of this estimator was carried out with a theoretical basis given by the Holder function and its performance was evaluated through Monte Carlo simulation considering different sample sizes, parametric values (π), and excess of zero proportions (γ). It was concluded that for the situations in (γ = 0.20) and (γ = 0.50) that the proposed estimator presents promising results based on the specified margin of error. |
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2015 |
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2015-01-01 |
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2019-07-03T02:20:21Z |
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2019-07-03T02:20:21Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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ISSN: 2389-8976 |
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https://repositorio.unal.edu.co/handle/unal/66543 |
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ISSN: 2389-8976 |
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spa |
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https://revistas.unal.edu.co/index.php/estad/article/view/48803 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística Revista Colombiana de Estadística |
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Da Silva, Augusto Maciel and Cirillo, Marcelo Angelo (2015) Simulation Studies of a Hölder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability. Revista Colombiana de Estadística, 38 (1). pp. 93-105. ISSN 2389-8976 |
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Derechos reservados - Universidad Nacional de Colombia |
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Atribución-NoComercial 4.0 Internacional |
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