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A Binary-Type Exponential Estimator for Estimating Finite Population Mean
Un estimador exponencial de tipo binario para estimar la media de una población finita
DOI:
https://doi.org/10.15446/rce.v47n1.110929Keywords:
Auxiliary variable., Bias, Binary-type Estimator, Exponential, Mean square error (en)Variable auxiliar, Sesgo, Estimador de tipo binario, Error cuadrático medio, Exponencial (es)
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This paper suggests binary-type exponential estimator for estimating finite population mean under simple random sampling using auxiliary information. The proposed estimator includes number of estimators as its member which has been listed. Mathematical expression for the bias and mean square error of proposed estimator have been derived up to first order approximation. An empirical study was carried out using some existing population data sets and it was found that the proposed estimator performed better than other existing estimators considered in the study including linear regression estimator.
Este artículo sugiere un estimador exponencial de tipo binario para estimar la media de una población finita bajo muestreo aleatorio simple utilizando información auxiliar. El estimador propuesto incluye el número de estimadores como miembros que se han enumerado. Se han obtenido expresiones matemáticas para el sesgo y el error cuadrático medio del estimador propuesto hasta una aproximación de primer orden. Se llevó a cabo un estudio empírico utilizando algunos parámetros de conjuntos de datos de población existentes y se encontró que el estimador propuesto funcionó mejor que otros estimadores existentes considerados en el estudio, incluido el estimador de regresión lineal.
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1. Khazan Sher, Muhammad Iqbal, Hameed Ali, Soofia Iftikhar, Maggie Aphane, Ahmed Audu. (2025). Novel efficient estimators of finite population mean in simple random sampling. Scientific African, 27, p.e02598. https://doi.org/10.1016/j.sciaf.2025.e02598.
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