Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters
Conventional measures of location are commonly used to develop ratio estimators. However, in this article, we attempt to use some non-conventional location measures. We have incorporated tri-mean, Hodges-Lehmann, and mid-range of the auxiliary variable for this purpose. To enhance the efficiency of...
- Autores:
-
Abid, Muhammad
Abbas, Nasir
Nazir, Hafiz Zafar
Lin, Zhengyan
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2016
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66523
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66523
http://bdigital.unal.edu.co/67551/
- Palabra clave:
- 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Bias
Correlation Coefficient
Coefficient of Variation
Hodges- Lehmann Estimator
Mean Square Error
Tri-Mean
Coeficiente de correlación poblacional
Coeficiente de variación
Error cuadrático medio
Estimador de Hodges-Lehmann,
Sesgo
Trimean.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
Summary: | Conventional measures of location are commonly used to develop ratio estimators. However, in this article, we attempt to use some non-conventional location measures. We have incorporated tri-mean, Hodges-Lehmann, and mid-range of the auxiliary variable for this purpose. To enhance the efficiency of the proposed mean ratio estimators, population correlation coefficient, coefficient of variation and the linear combinations of auxiliary variable have also been exploited. The properties associated with the proposed estimators are evaluated through bias and mean square errors. We also provide an empirical study for illustration and verification. |
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