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A sampling estimator of the Bonferroni inequality index

Author

Listed:
  • Giovanni Maria Giorgi

    ()

  • Alessio Guandalini

    () (Department of Statistical Sciences, “La Sapienza” University of Rome (Italy))

Abstract

A sampling estimator ( "B" ) of the Bonferroni inequality index based on the Bonferroni curve, is presented. "B" is compared through a simulation study with the percentile estimator and "B" , the estimator that uses weighted observations. It is shown that the "B" estimator, that decomposes the area between the Bonferroni curve and the line of perfect equality in trapezoids, has better performance than the other two, especially for small samples.

Suggested Citation

  • Giovanni Maria Giorgi & Alessio Guandalini, 2013. "A sampling estimator of the Bonferroni inequality index," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - Italian Review of Economics, Demography and Statistics, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 67(3-4), pages 151-158, July-Dece.
  • Handle: RePEc:ite:iteeco:133405
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    File URL: http://www.sieds.it/listing/RePEc/journl/2013LXVII_N34_05_Giorgi_Guandalini.pdf
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    References listed on IDEAS

    as
    1. Elena Bárcena-Martin & Jacques Silber, 2013. "On the generalization and decomposition of the Bonferroni index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 763-787, October.
    2. Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-316, August.
    3. Giovanni Maria Giorgi & Michele Crescenzi, 2005. "A look at the Bonferroni inequality measure in a reliability framework," Econometrics 0507004, EconWPA.
    4. Giovanni Maria Giorgi & Riccardo Mondani, 2005. "Sampling distribution of the Bonferroni inequality index from exponential population," Econometrics 0507008, EconWPA.
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    Cited by:

    1. Giovanni Maria Giorgi & Alessio Guandalini, 2016. "Bonferroni Index Decomposition And The Shapley Method," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - Italian Review of Economics, Demography and Statistics, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 70(4), pages 67-78, October-D.
    2. Elena Bárcena-Martin & Jacques Silber, 2017. "The Bonferroni index and the measurement of distributional change," METRON, Springer;Sapienza Università di Roma, vol. 75(1), pages 1-16, April.

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