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
| Summary: | 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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