Alcune considerazioni sull’efficienza degli stimatori rapporto-cum-prodotto

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

Alcune considerazioni sull’efficienza degli stimatori rapporto-cum-prodotto

Author

Pier Francesco Perri

Publisher

Vita e Pensiero

Format

Article |

Pdf

Online from

09-2017

Issn

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

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Description Readers' comments

In order to estimate the unknown mean of a study variable using two auxiliary variables, the efficiency of a modified version of the ratio-cum-product estimators is analysed when the sampling fraction is less then 0.5. Approximate expressions for the bias and the mean square error are obtained and specific conditions under which the modified estimators are more efficient then the original ones are analytically defined. Also a comparison with the multivariate regression estimator is included.

Keywords: auxiliary variables, efficiency, sampling fraction, ratio-cum-product estimators, regression estimator.

Author biography

Pier Francesco Perri, Dipartimento di Economia e Statistica – Università degli Studi della Calabria – Via P. Bucci, 87036 Arcavacata di Rende (CS) (e-mail: pierfrancesco.perri@unical.it).

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