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

digital Alcune considerazioni sull’efficienza degli stimatori rapporto-cum-prodotto
Article
journal STATISTICA & APPLICAZIONI
issue STATISTICA & APPLICAZIONI - 2004 - 2
title Alcune considerazioni sull’efficienza degli stimatori rapporto-cum-prodotto
author
publisher Vita e Pensiero
format Article | Pdf
online since 09-2017
issn 18246672 (print)
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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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