On the problem of the minimal sample size for the ratio estimation: an Empirical Bayes approach
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In many application contexts it may be useful to adopt a measure of pre-cision for the estimation of the proportion π of units belonging to a certain popula-tion having some definite characteristics taking into account the value of this un-known fraction. This work discusses the use of objective prior information, deriving from pre-test or pilot inquires, and the application of Empirical Bayes Procedures in the context of experimental sample design when there is the need for the definition of the minimal sufficient sampling size required to grant the desidered relative pre-cision.
Authors biographyAntonio Gambini, Dipartimento di Economia e Metodi Quantitativi (Di. E. M.) – Università degli Studi di Genova – Via Francesco Vivaldi, 5, 16126, GENOVA (e-mail: gambi-ni@economia.unige.it).Enrico di Bella, Dipartimento di Economia e Metodi Quantitativi (Di. E. M.) – Università degli Studi di Genova – Via Francesco Vivaldi, 5, 16126, GENOVA (edibella@economia.unige.it). |
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