Bootstrap Bayesian inference for a proportion in unequal probabilities sampling
This paper describe Bayesian bootstrap method, it is to realize inferences for finite population proportion ρ based on unequal probability sampling. Through Simulation we found that based on an appropriate a priori distribution to ρ with the proposed methodology it is possible to get estimate less-bi...
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Universidad Santo Tomás
2014
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ir-11634-248612020-06-16T21:39:15Z Bootstrap Bayesian inference for a proportion in unequal probabilities sampling Inferencia Bootstrap bayesiana para una proporción en muestreo con probabilidades desiguales Tellez Piñerez, Cristian Fernando Guerrero, Stalyn Yasid Pacheco, Mario muestreo probabilístico Bootstrap bayesiano estimación de una proporción estimador BPSP This paper describe Bayesian bootstrap method, it is to realize inferences for finite population proportion ρ based on unequal probability sampling. Through Simulation we found that based on an appropriate a priori distribution to ρ with the proposed methodology it is possible to get estimate less-biased like that obtain by the clasic π-estimator. Also, we get less-variance and confidence intervals with highest confidence levels and it has fewer length when we compared it with the classic π-estimator and BPSP estimator that was proposed by Chen et al. (2010). Lastly, an example is performed using the development methodology. En este artículo se propone el método bootstrap bayesiano para realizar inferencias sobre una proporción ρ en una población finita a partir de una muestra conprobabilidades desiguales. Vía simulación Monte Carlo se determinó que a partirde una adecuada elección de la distribución a priori de ρ la metodología propuestaobtienen estimaciones menos sesgadas y de menor varianza e intervalos de confianza con niveles de confianza más altos y de menor longitud en comparación con el π-estimador clásico y el estimador BPSP propuesto por Chen (2010). Finalmentese ejemplifica la implementación de la metodología. 2014-06-20 2020-06-16T21:39:15Z 2020-06-16T21:39:15Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://revistas.usantotomas.edu.co/index.php/estadistica/article/view/1140 10.15332/s2027-3355.2014.0001.03 http://hdl.handle.net/11634/24861 spa https://revistas.usantotomas.edu.co/index.php/estadistica/article/view/1140/1374 https://revistas.usantotomas.edu.co/index.php/estadistica/article/view/1140/3623 application/pdf text/plain Universidad Santo Tomás Comunicaciones en Estadística; Vol. 7 Núm. 1 (2014); 31-48 2339-3076 2027-3355 Comunicaciones en Estadística; Vol. 7 No. 1 (2014); 31-48 |
institution |
Universidad Santo Tomas |
collection |
DSpace |
language |
Español (Spanish) |
topic |
muestreo probabilístico Bootstrap bayesiano estimación de una proporción estimador BPSP |
spellingShingle |
muestreo probabilístico Bootstrap bayesiano estimación de una proporción estimador BPSP Tellez Piñerez, Cristian Fernando Guerrero, Stalyn Yasid Pacheco, Mario Bootstrap Bayesian inference for a proportion in unequal probabilities sampling |
description |
This paper describe Bayesian bootstrap method, it is to realize inferences for finite population proportion ρ based on unequal probability sampling. Through Simulation we found that based on an appropriate a priori distribution to ρ with the proposed methodology it is possible to get estimate less-biased like that obtain by the clasic π-estimator. Also, we get less-variance and confidence intervals with highest confidence levels and it has fewer length when we compared it with the classic π-estimator and BPSP estimator that was proposed by Chen et al. (2010). Lastly, an example is performed using the development methodology. |
format |
Artículo (Article) |
author |
Tellez Piñerez, Cristian Fernando Guerrero, Stalyn Yasid Pacheco, Mario |
author_facet |
Tellez Piñerez, Cristian Fernando Guerrero, Stalyn Yasid Pacheco, Mario |
author_sort |
Tellez Piñerez, Cristian Fernando |
title |
Bootstrap Bayesian inference for a proportion in unequal probabilities sampling |
title_short |
Bootstrap Bayesian inference for a proportion in unequal probabilities sampling |
title_full |
Bootstrap Bayesian inference for a proportion in unequal probabilities sampling |
title_fullStr |
Bootstrap Bayesian inference for a proportion in unequal probabilities sampling |
title_full_unstemmed |
Bootstrap Bayesian inference for a proportion in unequal probabilities sampling |
title_sort |
bootstrap bayesian inference for a proportion in unequal probabilities sampling |
publisher |
Universidad Santo Tomás |
publishDate |
2014 |
url |
http://hdl.handle.net/11634/24861 |
_version_ |
1712106257486184448 |
score |
12,131701 |