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.
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Giorgi, G.M., Crescenzi, M. Bayesian estimation of the Bonferroni index from a Pareto-type I population. Statistical Methods & Applications 10, 41–48 (2001). https://doi.org/10.1007/BF02511638
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DOI: https://doi.org/10.1007/BF02511638