Statistical Methods and Applications

, Volume 10, Issue 1, pp 41–48

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

  • G. M. Giorgi
  • M. Crescenzi
Statistical Methods

DOI: 10.1007/BF02511638

Cite this article as:
Giorgi, G.M. & Crescenzi, M. Statistical Methods & Applications (2001) 10: 41. doi:10.1007/BF02511638


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.

Key words

Bonferroni inequality indexBayes estimatorPareto/I distributiontruncated Erlang distributiontranslated exponential distributionsquared error loss function

Copyright information

© Springer-Verlag 2001

Authors and Affiliations

  • G. M. Giorgi
    • 1
  • M. Crescenzi
    • 1
  1. 1.Dipartimento di Statistica, Probabilità e Statistiche ApplicateUniversità “La Sapienza”RomaItaly