Published

2024-01-15

An Improved Class of Ratio and Product Estimators Based on ORRT Models

Una clase mejorado de estimadores de razones y productos basados en modelos ORRT

DOI:

https://doi.org/10.15446/rce.v47n1.106991

Keywords:

Auxiliary variable, Bias, Mean square error (MSE), Non-response, Optional RRT, Sensitive study variables (en)
Error cuadrático medio (MSE), Falta de respuesta, Sesgo, TSR opcional, Variables sensibles del estudio, Variable auxiliar (es)

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Authors

  • Monica Choudhary University of Jammu
  • Sunil Kumar University of Jammu
  • Sanam Preet Kour University of Jammu
  • Tania Verma University of Jammu

In this study, we introduced a problem for the estimation of the population mean of two sensitive variables using ORRT models. A class of estimators has been developed for the estimation of ratio and product estimators. Up to the first degree of approximation, properties of the proposed estimators including bias and mean square error have been studied. To show the efficacy of the proposed class of estimators, we compare it with the conventional estimators and the PRE of the proposed class of estimators is obtained with respect to the usual ratio and product estimator. The simulation study justified that our suggested estimator is more efficient than the existing estimator in terms of having higher PRE.

En este estudio, presentamos un problema para la estimación de la media poblacional de dos variables sensibles utilizando modelos ORRT. Se ha desarrollado una clase de estimadores para la estimación de razón y producto. Hasta el primer grado de aproximación, se han estudiado las propiedades de los estimadores propuestos, incluido el sesgo y el error cuadrático medio. Para mostrar la eficacia de la clase de estimadores propuesta, la comparamos con los estimadores convencionales, y se obtiene el PRE de la clase de estimadores propuesta con respecto al estimador habitual de razón y producto. El estudio de simulación que nuestro estimador sugerido es más eficiente que el estimador existente en términos de tener un PRE más alto.

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How to Cite

APA

Choudhary, M., Kumar, S., Kour, S. P. and Verma, T. (2024). An Improved Class of Ratio and Product Estimators Based on ORRT Models. Revista Colombiana de Estadística, 47(1), 1–23. https://doi.org/10.15446/rce.v47n1.106991

ACM

[1]
Choudhary, M., Kumar, S., Kour, S.P. and Verma, T. 2024. An Improved Class of Ratio and Product Estimators Based on ORRT Models. Revista Colombiana de Estadística. 47, 1 (Jan. 2024), 1–23. DOI:https://doi.org/10.15446/rce.v47n1.106991.

ACS

(1)
Choudhary, M.; Kumar, S.; Kour, S. P.; Verma, T. An Improved Class of Ratio and Product Estimators Based on ORRT Models. Rev. colomb. estad. 2024, 47, 1-23.

ABNT

CHOUDHARY, M.; KUMAR, S.; KOUR, S. P.; VERMA, T. An Improved Class of Ratio and Product Estimators Based on ORRT Models. Revista Colombiana de Estadística, [S. l.], v. 47, n. 1, p. 1–23, 2024. DOI: 10.15446/rce.v47n1.106991. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/106991. Acesso em: 28 mar. 2025.

Chicago

Choudhary, Monica, Sunil Kumar, Sanam Preet Kour, and Tania Verma. 2024. “An Improved Class of Ratio and Product Estimators Based on ORRT Models”. Revista Colombiana De Estadística 47 (1):1-23. https://doi.org/10.15446/rce.v47n1.106991.

Harvard

Choudhary, M., Kumar, S., Kour, S. P. and Verma, T. (2024) “An Improved Class of Ratio and Product Estimators Based on ORRT Models”, Revista Colombiana de Estadística, 47(1), pp. 1–23. doi: 10.15446/rce.v47n1.106991.

IEEE

[1]
M. Choudhary, S. Kumar, S. P. Kour, and T. Verma, “An Improved Class of Ratio and Product Estimators Based on ORRT Models”, Rev. colomb. estad., vol. 47, no. 1, pp. 1–23, Jan. 2024.

MLA

Choudhary, M., S. Kumar, S. P. Kour, and T. Verma. “An Improved Class of Ratio and Product Estimators Based on ORRT Models”. Revista Colombiana de Estadística, vol. 47, no. 1, Jan. 2024, pp. 1-23, doi:10.15446/rce.v47n1.106991.

Turabian

Choudhary, Monica, Sunil Kumar, Sanam Preet Kour, and Tania Verma. “An Improved Class of Ratio and Product Estimators Based on ORRT Models”. Revista Colombiana de Estadística 47, no. 1 (January 24, 2024): 1–23. Accessed March 28, 2025. https://revistas.unal.edu.co/index.php/estad/article/view/106991.

Vancouver

1.
Choudhary M, Kumar S, Kour SP, Verma T. An Improved Class of Ratio and Product Estimators Based on ORRT Models. Rev. colomb. estad. [Internet]. 2024 Jan. 24 [cited 2025 Mar. 28];47(1):1-23. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/106991

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