Evaluación de rendimiento de los estimadorespara los parámetros de la Distribución Burr XII

• Autores: Wyara Vanesa Moura E Silva, Daniel Leonardo Ramirez Orozco
• Localización: Comunicaciones en Estadística, ISSN 2027-3355, ISSN-e 2339-3076, Vol. 15, Nº. 1, 2022, págs. 1-14
• Idioma: español
• DOI: 10.15332/23393076.7755
• Títulos paralelos:
  • Performance Evaluation of Estimators for the Burr XII DistributionParameters
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• Resumen
  • español

    Este trabajo tiene como objetivo principal evaluar el rendimiento de los estimado-res de m ́axima verosimilitud y estimadores puntuales bayesianos para los par ́ame-trospebde la distribuci ́on Burr XII y sus versiones corregidas porbootstrap.Simulaciones de Monte Carlo fueron utilizadas para el an ́alisis, considerando di-versos escenarios y verificando algunas propiedades de esos estimadores, como lamedia, varianza, sesgo y error cuadr ́atico medio. Los estimadores corregidos pre-sentaron mejores rendimientos en cuanto a la estimaci ́on por el m ́etodo de m ́aximaverosimilitud, no sucede lo mismo en las estimativas puntuales para el an ́alisis delos estimadores bayesianos.

  • English

    The main objective of this paper is to evaluate the performance of maximum li-kelihood estimators and Bayesian point estimators for the parameterspandbofthe Burr XII distribution and itsbootstrap-corrected versions. Monte Carlo simu-lations were used for the analysis, considering various scenarios and verifying someproperties of these estimators, such as the mean, variance, bias, and mean squa-red error. The corrected estimators presented better performances in terms of theestimation by the maximum likelihood method, the same does not happen in thepoint estimates for the analysis of the Bayesian estimators.

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