Published

2023-01-01

An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS

Un estimador mejorado de varianza de población finita utilizando dos atributos auxiliares en SRS

DOI:

https://doi.org/10.15446/rce.v46n1.104427

Keywords:

Simple random sampling, Variance estimation, Study variable, Auxiliary variable, Bias, Mean square error (en)
Muestreo aleatorio simple, Estimación de la varianza, Variable de estudio, Variable auxiliar, Sesgo, Error cuadrático medio (es)

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Authors

  • Sunil Kumar University of Jammu
  • Monica Choudhary University of Jammu

 In the present study, we explore the problem of estimation of finite population variance in simple random sampling (without replacement) by utilizing information of two auxiliary variables. A ratio cum exponential estimator has been proposed and its properties are studied to the first degree of approximation. To demonstrate the efficiency, members of the proposed estimator as well as other existing estimators are compared to the usual unbiased estimator. To study the performance, a simulation study is undertaken for both real and artificial population using R software. The suggested estimator is found to be more efficient than other existing estimators in terms of having minimum MSE.

En el presente estudio, exploramos el problema de la estimación de la varianza de una población finita en un muestreo aleatorio simple (sin reemplazo) utilizando la información de dos variables auxiliares. Se ha propuesto un estimador de razón cum exponencial y se estudian sus propiedades hasta el primer grado de aproximación. Para demostrar la eficiencia, los miembros del estimador propuesto, así como otros estimadores existentes, se comparan con el estimador insesgado habitual. Usando el software R, se lleva a cabo un análisis de simulación para respaldar las conclusiones teóricas. Se determina que el estimador sugerido es más eficiente que otros estimadores existentes según el análisis del estudio de simulación.

References

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How to Cite

APA

Kumar, S. and Choudhary, M. (2023). An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS. Revista Colombiana de Estadística, 46(1), 81–91. https://doi.org/10.15446/rce.v46n1.104427

ACM

[1]
Kumar, S. and Choudhary, M. 2023. An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS. Revista Colombiana de Estadística. 46, 1 (Jan. 2023), 81–91. DOI:https://doi.org/10.15446/rce.v46n1.104427.

ACS

(1)
Kumar, S.; Choudhary, M. An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS. Rev. colomb. estad. 2023, 46, 81-91.

ABNT

KUMAR, S.; CHOUDHARY, M. An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS. Revista Colombiana de Estadística, [S. l.], v. 46, n. 1, p. 81–91, 2023. DOI: 10.15446/rce.v46n1.104427. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/104427. Acesso em: 28 mar. 2025.

Chicago

Kumar, Sunil, and Monica Choudhary. 2023. “An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS”. Revista Colombiana De Estadística 46 (1):81-91. https://doi.org/10.15446/rce.v46n1.104427.

Harvard

Kumar, S. and Choudhary, M. (2023) “An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS”, Revista Colombiana de Estadística, 46(1), pp. 81–91. doi: 10.15446/rce.v46n1.104427.

IEEE

[1]
S. Kumar and M. Choudhary, “An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS”, Rev. colomb. estad., vol. 46, no. 1, pp. 81–91, Jan. 2023.

MLA

Kumar, S., and M. Choudhary. “An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS”. Revista Colombiana de Estadística, vol. 46, no. 1, Jan. 2023, pp. 81-91, doi:10.15446/rce.v46n1.104427.

Turabian

Kumar, Sunil, and Monica Choudhary. “An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS”. Revista Colombiana de Estadística 46, no. 1 (January 18, 2023): 81–91. Accessed March 28, 2025. https://revistas.unal.edu.co/index.php/estad/article/view/104427.

Vancouver

1.
Kumar S, Choudhary M. An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS. Rev. colomb. estad. [Internet]. 2023 Jan. 18 [cited 2025 Mar. 28];46(1):81-9. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/104427

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CrossRef Cited-by

CrossRef citations3

1. Sohaib Ahmad, Aned Al Mutairi, Said G. Nassr, Hassan Alsuhabi, Mustafa Kamal, Masood Ur Rehman. (2023). A new approach for estimating variance of a population employing information obtained from a stratified random sampling. Heliyon, 9(11), p.e21477. https://doi.org/10.1016/j.heliyon.2023.e21477.

2. Mohammed Ahmed Alomair, Syed Aflake Hussain Shah Gardazi. (2024). Hybrid class of robust type estimators for variance estimation using mean and variance of auxiliary variable. Heliyon, 10(10), p.e31039. https://doi.org/10.1016/j.heliyon.2024.e31039.

3. Housila P. Singh, Diksha Arya, Subhash Kumar Yadav. (2023). Optimal Strategy for Improved Estimation of Population Variance Using Known Auxiliary Parameters. International Journal of Applied and Computational Mathematics, 9(5) https://doi.org/10.1007/s40819-023-01559-7.

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