Gini s ideas: new perspectives for modern multivariate statistical analysis
Corrado Gini (1884-1964) may be considered the greatest Italian statistician. We believe that his important contributions to statistics, however mainly limited to the univariate context, may be profitably employed in modern multivariate statistical methods, aimed at overcoming the curse of dimension...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Bologna
2013-05-01
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| Series: | Statistica |
| Online Access: | http://rivista-statistica.unibo.it/article/view/3533 |
| _version_ | 1819056939841093632 |
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| author | Angela Montanari Paola Monari |
| author_facet | Angela Montanari Paola Monari |
| author_sort | Angela Montanari |
| collection | DOAJ |
| description | Corrado Gini (1884-1964) may be considered the greatest Italian statistician. We believe that his important contributions to statistics, however mainly limited to the univariate context, may be profitably employed in modern multivariate statistical methods, aimed at overcoming the curse of dimensionality by decomposing multivariate problems into a series of suitably posed univariate ones.In this paper we critically summarize Gini’s proposals and consider their impact on multivariate statistical methods, both reviewing already well established applications and suggesting new perspectives.Particular attention will be devoted to classification and regression trees, multiple linear regression, linear dimension reduction methods and transvariation based discrimination. |
| first_indexed | 2024-12-21T13:31:23Z |
| format | Article |
| id | doaj.art-c147778d332541f8ac047e3c2743abde |
| institution | Directory Open Access Journal |
| issn | 0390-590X 1973-2201 |
| language | English |
| last_indexed | 2024-12-21T13:31:23Z |
| publishDate | 2013-05-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj.art-c147778d332541f8ac047e3c2743abde2022-12-21T19:02:18ZengUniversity of BolognaStatistica0390-590X1973-22012013-05-01683/423925410.6092/issn.1973-2201/35333279Gini s ideas: new perspectives for modern multivariate statistical analysisAngela Montanari0Paola Monari1Department of Statistical Sciences - University of BolognaDepartment of Statistical Sciences - University of BolognaCorrado Gini (1884-1964) may be considered the greatest Italian statistician. We believe that his important contributions to statistics, however mainly limited to the univariate context, may be profitably employed in modern multivariate statistical methods, aimed at overcoming the curse of dimensionality by decomposing multivariate problems into a series of suitably posed univariate ones.In this paper we critically summarize Gini’s proposals and consider their impact on multivariate statistical methods, both reviewing already well established applications and suggesting new perspectives.Particular attention will be devoted to classification and regression trees, multiple linear regression, linear dimension reduction methods and transvariation based discrimination.http://rivista-statistica.unibo.it/article/view/3533 |
| spellingShingle | Angela Montanari Paola Monari Gini s ideas: new perspectives for modern multivariate statistical analysis Statistica |
| title | Gini s ideas: new perspectives for modern multivariate statistical analysis |
| title_full | Gini s ideas: new perspectives for modern multivariate statistical analysis |
| title_fullStr | Gini s ideas: new perspectives for modern multivariate statistical analysis |
| title_full_unstemmed | Gini s ideas: new perspectives for modern multivariate statistical analysis |
| title_short | Gini s ideas: new perspectives for modern multivariate statistical analysis |
| title_sort | gini s ideas new perspectives for modern multivariate statistical analysis |
| url | http://rivista-statistica.unibo.it/article/view/3533 |
| work_keys_str_mv | AT angelamontanari ginisideasnewperspectivesformodernmultivariatestatisticalanalysis AT paolamonari ginisideasnewperspectivesformodernmultivariatestatisticalanalysis |