Published
2014-06-20

Inferencia Bootstrap bayesiana para una proporción en muestreo con probabilidades desiguales

Bootstrap Bayesian inference for a proportion in unequal probabilities sampling

DOI: https://doi.org/10.15332/s2027-3355.2014.0001.03
Cristian Fernando Tellez Piñerez
Fundación Universitaria Los Libertadores
Stalyn Yasid Guerrero
Egresado, Universidad de Córdoba, Colombia
Mario Pacheco
Docente Ocasional, Universidad de Córdoba, Colombia.
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Abstract (en)

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.

Keywords (en): muestreo probabilístico, Bootstrap bayesiano, estimación de una proporción, estimador BPSP

Abstract (es)

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.
Keywords (es): muestreo probabilístico, Bootstrap bayesiano, estimación de una proporción, estimador BPSP
Cristian Fernando Tellez Piñerez, Fundación Universitaria Los Libertadores
Docente Tiempo Completo, Departamento de Ciencias Básicas

References

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Chen, Q., Elliott, M. R. & Little, R. J. (2010), ‘Bayesian penalized spline modelbased inference for finite population proportion in unequal probability sampling’, Survey Methodology 36(1), 23–34.

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Pfeffermann, D. & Royall, R. M. (1982), ‘Balanced samples and robust Bayesian inference in finite population sampling’, Biometrika 69, 401–409.

R Core Team (2013), R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria. *http://www.r-project.org

Särndal, C. E., Swensson, B. & Wretman, J. (1992), Model Assisted Survey Sampling, Springer - Verlag, New York.

Shao, J. & Tu, D. (1995), The jackknife and Bootstrap, Springer, New York.

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How to Cite

Tellez Piñerez, C. F., Guerrero, S. Y., & Pacheco, M. (2014). Bootstrap Bayesian inference for a proportion in unequal probabilities sampling. Comunicaciones En Estadística, 7(1), 31-48. https://doi.org/10.15332/s2027-3355.2014.0001.03

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