Median estimation knowing the median of an auxiliary variable

Name: Median estimation knowing the median of an auxiliary variable
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

Median estimation knowing the median of an auxiliary variable

Author

Rosita De Paola

Publisher

Vita e Pensiero

Format

Article |

Pdf

Pages

Online from

02-2015

Issn

1824-6672 (print) | 2283-6659 (digital)

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Description Readers' comments

This paper deals the estimation of a finite population median in the presence of an auxiliary variable. Two methods based on the regression estimator are studied along with the ratio estimator and the median’s estimator without auxiliary variable. These estimators are applicable in situations where only the population median of the auxiliary variable is known. On basis of all possible samples derived by symmetric and asymmetric (positive and negative) cases, the efficiency of these estimators are compared. It is shown that the estimators based on the regression estimator improve always the median’s estimation with regard to the estimator without the auxiliary variable, but for choosing the best estimator for the median it has been considered the combination of symmetric, positive asymmetric and negative asymmetric cases between the auxiliary variable (X) and the principal variable (Y).

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