Bonferroni and De Vergottini are back: New subgroup decompositions and bipolarization measures
| Autor: | Giovanni Maria Giorgi, Mariateresa Ciommi, Chiara Gigliarano |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
0209 industrial biotechnology
Inequality Logic Polarization measurement media_common.quotation_subject Gini index 02 engineering and technology Bonferroni index Subgroup decomposition symbols.namesake 020901 industrial engineering & automation Bonferroni correction Artificial Intelligence De Vergottini index 0202 electrical engineering electronic engineering information engineering symbols Econometrics 020201 artificial intelligence & image processing Axiom Mathematics media_common |
| Zdroj: | Fuzzy Sets and Systems. 433:22-53 |
| ISSN: | 0165-0114 |
| Popis: | This paper proposes new bipolarization indices based on the Bonferroni and De Vergottini indices of inequality. These new indices follow the approach of Foster and Wolfson and are based on a new subgroup decomposition of the Bonferroni and De Vergottini indices of inequality. We also provide the conditions under which the new polarization indices satisfy the Increased Spread and Increased Bipolarity axioms. Finally, a simulation study is performed to compare the different sensitivity of the new bipolarization indices to progressive transfers. An empirical application based on EU-SILC data for Italy in the period 2007-2011 also shows the appeal of our proposal. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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