An improved class of estimators for the population mean |
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Authors: | Giancarlo Diana Marco Giordan Pier Francesco Perri |
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Institution: | 1.Department of Statistical Sciences,University of Padova,Padova,Italy;2.Department of Economics and Statistics,University of Calabria,Arcavacata di Rende,Italy |
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Abstract: | Starting from the Rao (Commun Stat Theory Methods 20:3325–3340, 1991) regression estimator, we propose a class of estimators for the unknown mean of a survey variable when auxiliary information
is available. The bias and the mean square error of the estimators belonging to the class are obtained and the expressions
for the optimum parameters minimizing the asymptotic mean square error are given in closed form. A simple condition allowing
us to improve the classical regression estimator is worked out. Finally, in order to compare the performance of some estimators
with the regression one, a simulation study is carried out when some population parameters are supposed to be unknown. |
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Keywords: | |
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