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Bayesian estimation of the Bonferroni index from a Pareto-type I population

Giovanni Giorgi () and M. Crescenzi ()
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M. Crescenzi: Università “La Sapienza”

Statistical Methods & Applications, 2001, vol. 10, issue 1, No 5, 48 pages

Abstract: Summary The Bonferroni index (B) is a measure of income and wealth inequality, and it is particularly suitable for poverty studies. Since most income surveys are of a sample nature, we propose Bayes estimators ofB from a Pareto/I population. The Bayesian estimators are obtained assuming a squared error loss function and, as prior distributions, the truncated Erlang density and the translated exponential one. Two different procedures are developed for a censored sample and for income data grouped in classes.

Keywords: Bonferroni inequality index; Bayes estimator; Pareto/I distribution; truncated Erlang distribution; translated exponential distribution; squared error loss function (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/BF02511638

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