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A New Modified Post-Stratified Estimator in Finite Population Sampling
Un nuevo estimador post-estratificado modificado en muestreo de poblaciones finitas
DOI:
https://doi.org/10.15446/rce.v49n1.115571Keywords:
Finite population, Post-stratification, Stratified sampling, Subpopulation (en)Poblaciones finitas, Post-estratificación, Muestreo estratificado, Subpoblaciones (es)
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We know that post-stratification sampling is applied in a situation where it is not possible to determine the general framework of each of the categories in population before the selection sample. In this paper, we first use a method for comparing conventional estimators in the subpopulation, presented by Salehi & Seber (2021), and then introduce a new estimator in the post-stratification sampling scheme. We show that this estimator is unbiased and more precise than the estimators in simple random sampling. We have conducted a simulation study to evaluate the performance of the proposed estimator. The simulation results confirmed the theoretical achievements of the article. The data used in this article is a census of agriculture conducted by the US government every five years from all 50 states.
Se sabe que el muestreo por post-estratificación se aplica en situaciones en las que no es posible determinar, antes de seleccionar la muestra, el marco general de cada una de las categorías de la población. En este artículo, primero se utiliza un método para comparar estimadores convencionales en la subpoblación, presentado por Salehi & Seber (2021), y luego se introduce un nuevo estimador dentro del esquema de muestreo por post-estratificación. Se demuestra que este estimador es insesgado y más preciso que los estimadores bajo muestreo aleatorio simple. Además, se realiza un estudio de simulación para evaluar el desempeño del estimador propuesto. Los resultados de la simulación confirmaron los logros teóricos del artículo. Los datos utilizados corresponden a un censo agrícola que el gobierno de Estados Unidos realiza cada cinco años en los 50 estados.
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