Robust dissimilarity comparisons with categorical outcomes

Gespeichert in:

Autor*in:	Andreoli, Francesco [verfasserIn] Zoli, Claudio [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Qualitative Methode / Robustes Verfahren / Sozialwissenschaft

Übergeordnetes Werk:	Enthalten in: Social choice and welfare - Berlin : Springer, 1984, 60(2023), 3 vom: Apr., Seite 397-437
Übergeordnetes Werk:	volume:60 ; year:2023 ; number:3 ; month:04 ; pages:397-437

Links:	Link aufrufen Link aufrufen

DOI / URN:	10.1007/s00355-022-01419-1

Katalog-ID:	184495191X

Internformat


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982			\|2 26 \|1 00 \|x DE-206 \|b The analysis of many phenomena requires partitioning societies into groups and studying the extent at which these groups are distributed with different intensities across relevant non-ordered categorical outcomes. When the groups are similarly distributed, their members have equal chances to achieve any of the attainable outcomes. Otherwise, a form of dissimilarity between groups distributions prevails. We characterize axiomatically the dissimilarity partial order of multi-group distributions defined over categorical outcomes. The main result provides an equivalent representation of this partial order by the ranking of multi-group distributions originating from the inclusion of their zonotope representations. The zonotope inclusion criterion refines (that is, is implied by) majorization conditions that are largely adopted in mainstream approaches to multi-group segregation or univariate and multivariate inequality analysis.

Indexfelder

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allfields	10.1007/s00355-022-01419-1 doi (DE-627)184495191X (DE-599)KXP184495191X (DE-He213)s00355-022-01419-1-e DE-627 ger DE-627 rda eng Andreoli, Francesco verfasserin (DE-588)1166060624 (DE-627)1029975701 (DE-576)510597122 aut Robust dissimilarity comparisons with categorical outcomes Francesco Andreoli, Claudio Zoli 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 1.1\x Qualitative Methode (DE-627)091384974 (DE-2867)19150-0 stw 1.2\x Robustes Verfahren (DE-627)091386942 (DE-2867)15062-3 stw 1.3\x Sozialwissenschaft (DE-627)091390621 (DE-2867)16563-4 stw Zoli, Claudio verfasserin aut Enthalten in Social choice and welfare Berlin : Springer, 1984 60(2023), 3 vom: Apr., Seite 397-437 Online-Ressource (DE-627)254909493 (DE-600)1463157-X (DE-576)074754033 1432-217X nnns volume:60 year:2023 number:3 month:04 pages:397-437 https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button Verlag kostenfrei https://doi.org/10.1007/s00355-022-01419-1 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2949 GBV_ILN_2950 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 60 2023 3 4 397-437 26 01 0206 4320237234 x1z 10-05-23 2403 01 DE-LFER 4331350274 00 --%%-- --%%-- n --%%-- l01 12-06-23 2403 01 DE-LFER https://doi.org/10.1007/s00355-022-01419-1 2403 01 DE-LFER https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button 26 00 DE-206 The analysis of many phenomena requires partitioning societies into groups and studying the extent at which these groups are distributed with different intensities across relevant non-ordered categorical outcomes. When the groups are similarly distributed, their members have equal chances to achieve any of the attainable outcomes. Otherwise, a form of dissimilarity between groups distributions prevails. We characterize axiomatically the dissimilarity partial order of multi-group distributions defined over categorical outcomes. The main result provides an equivalent representation of this partial order by the ranking of multi-group distributions originating from the inclusion of their zonotope representations. The zonotope inclusion criterion refines (that is, is implied by) majorization conditions that are largely adopted in mainstream approaches to multi-group segregation or univariate and multivariate inequality analysis.
spelling	10.1007/s00355-022-01419-1 doi (DE-627)184495191X (DE-599)KXP184495191X (DE-He213)s00355-022-01419-1-e DE-627 ger DE-627 rda eng Andreoli, Francesco verfasserin (DE-588)1166060624 (DE-627)1029975701 (DE-576)510597122 aut Robust dissimilarity comparisons with categorical outcomes Francesco Andreoli, Claudio Zoli 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 1.1\x Qualitative Methode (DE-627)091384974 (DE-2867)19150-0 stw 1.2\x Robustes Verfahren (DE-627)091386942 (DE-2867)15062-3 stw 1.3\x Sozialwissenschaft (DE-627)091390621 (DE-2867)16563-4 stw Zoli, Claudio verfasserin aut Enthalten in Social choice and welfare Berlin : Springer, 1984 60(2023), 3 vom: Apr., Seite 397-437 Online-Ressource (DE-627)254909493 (DE-600)1463157-X (DE-576)074754033 1432-217X nnns volume:60 year:2023 number:3 month:04 pages:397-437 https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button Verlag kostenfrei https://doi.org/10.1007/s00355-022-01419-1 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2949 GBV_ILN_2950 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 60 2023 3 4 397-437 26 01 0206 4320237234 x1z 10-05-23 2403 01 DE-LFER 4331350274 00 --%%-- --%%-- n --%%-- l01 12-06-23 2403 01 DE-LFER https://doi.org/10.1007/s00355-022-01419-1 2403 01 DE-LFER https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button 26 00 DE-206 The analysis of many phenomena requires partitioning societies into groups and studying the extent at which these groups are distributed with different intensities across relevant non-ordered categorical outcomes. When the groups are similarly distributed, their members have equal chances to achieve any of the attainable outcomes. Otherwise, a form of dissimilarity between groups distributions prevails. We characterize axiomatically the dissimilarity partial order of multi-group distributions defined over categorical outcomes. The main result provides an equivalent representation of this partial order by the ranking of multi-group distributions originating from the inclusion of their zonotope representations. The zonotope inclusion criterion refines (that is, is implied by) majorization conditions that are largely adopted in mainstream approaches to multi-group segregation or univariate and multivariate inequality analysis.
allfields_unstemmed	10.1007/s00355-022-01419-1 doi (DE-627)184495191X (DE-599)KXP184495191X (DE-He213)s00355-022-01419-1-e DE-627 ger DE-627 rda eng Andreoli, Francesco verfasserin (DE-588)1166060624 (DE-627)1029975701 (DE-576)510597122 aut Robust dissimilarity comparisons with categorical outcomes Francesco Andreoli, Claudio Zoli 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 1.1\x Qualitative Methode (DE-627)091384974 (DE-2867)19150-0 stw 1.2\x Robustes Verfahren (DE-627)091386942 (DE-2867)15062-3 stw 1.3\x Sozialwissenschaft (DE-627)091390621 (DE-2867)16563-4 stw Zoli, Claudio verfasserin aut Enthalten in Social choice and welfare Berlin : Springer, 1984 60(2023), 3 vom: Apr., Seite 397-437 Online-Ressource (DE-627)254909493 (DE-600)1463157-X (DE-576)074754033 1432-217X nnns volume:60 year:2023 number:3 month:04 pages:397-437 https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button Verlag kostenfrei https://doi.org/10.1007/s00355-022-01419-1 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2949 GBV_ILN_2950 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 60 2023 3 4 397-437 26 01 0206 4320237234 x1z 10-05-23 2403 01 DE-LFER 4331350274 00 --%%-- --%%-- n --%%-- l01 12-06-23 2403 01 DE-LFER https://doi.org/10.1007/s00355-022-01419-1 2403 01 DE-LFER https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button 26 00 DE-206 The analysis of many phenomena requires partitioning societies into groups and studying the extent at which these groups are distributed with different intensities across relevant non-ordered categorical outcomes. When the groups are similarly distributed, their members have equal chances to achieve any of the attainable outcomes. Otherwise, a form of dissimilarity between groups distributions prevails. We characterize axiomatically the dissimilarity partial order of multi-group distributions defined over categorical outcomes. The main result provides an equivalent representation of this partial order by the ranking of multi-group distributions originating from the inclusion of their zonotope representations. The zonotope inclusion criterion refines (that is, is implied by) majorization conditions that are largely adopted in mainstream approaches to multi-group segregation or univariate and multivariate inequality analysis.
allfieldsGer	10.1007/s00355-022-01419-1 doi (DE-627)184495191X (DE-599)KXP184495191X (DE-He213)s00355-022-01419-1-e DE-627 ger DE-627 rda eng Andreoli, Francesco verfasserin (DE-588)1166060624 (DE-627)1029975701 (DE-576)510597122 aut Robust dissimilarity comparisons with categorical outcomes Francesco Andreoli, Claudio Zoli 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 1.1\x Qualitative Methode (DE-627)091384974 (DE-2867)19150-0 stw 1.2\x Robustes Verfahren (DE-627)091386942 (DE-2867)15062-3 stw 1.3\x Sozialwissenschaft (DE-627)091390621 (DE-2867)16563-4 stw Zoli, Claudio verfasserin aut Enthalten in Social choice and welfare Berlin : Springer, 1984 60(2023), 3 vom: Apr., Seite 397-437 Online-Ressource (DE-627)254909493 (DE-600)1463157-X (DE-576)074754033 1432-217X nnns volume:60 year:2023 number:3 month:04 pages:397-437 https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button Verlag kostenfrei https://doi.org/10.1007/s00355-022-01419-1 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2949 GBV_ILN_2950 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 60 2023 3 4 397-437 26 01 0206 4320237234 x1z 10-05-23 2403 01 DE-LFER 4331350274 00 --%%-- --%%-- n --%%-- l01 12-06-23 2403 01 DE-LFER https://doi.org/10.1007/s00355-022-01419-1 2403 01 DE-LFER https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button 26 00 DE-206 The analysis of many phenomena requires partitioning societies into groups and studying the extent at which these groups are distributed with different intensities across relevant non-ordered categorical outcomes. When the groups are similarly distributed, their members have equal chances to achieve any of the attainable outcomes. Otherwise, a form of dissimilarity between groups distributions prevails. We characterize axiomatically the dissimilarity partial order of multi-group distributions defined over categorical outcomes. The main result provides an equivalent representation of this partial order by the ranking of multi-group distributions originating from the inclusion of their zonotope representations. The zonotope inclusion criterion refines (that is, is implied by) majorization conditions that are largely adopted in mainstream approaches to multi-group segregation or univariate and multivariate inequality analysis.
allfieldsSound	10.1007/s00355-022-01419-1 doi (DE-627)184495191X (DE-599)KXP184495191X (DE-He213)s00355-022-01419-1-e DE-627 ger DE-627 rda eng Andreoli, Francesco verfasserin (DE-588)1166060624 (DE-627)1029975701 (DE-576)510597122 aut Robust dissimilarity comparisons with categorical outcomes Francesco Andreoli, Claudio Zoli 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 1.1\x Qualitative Methode (DE-627)091384974 (DE-2867)19150-0 stw 1.2\x Robustes Verfahren (DE-627)091386942 (DE-2867)15062-3 stw 1.3\x Sozialwissenschaft (DE-627)091390621 (DE-2867)16563-4 stw Zoli, Claudio verfasserin aut Enthalten in Social choice and welfare Berlin : Springer, 1984 60(2023), 3 vom: Apr., Seite 397-437 Online-Ressource (DE-627)254909493 (DE-600)1463157-X (DE-576)074754033 1432-217X nnns volume:60 year:2023 number:3 month:04 pages:397-437 https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button Verlag kostenfrei https://doi.org/10.1007/s00355-022-01419-1 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2949 GBV_ILN_2950 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 60 2023 3 4 397-437 26 01 0206 4320237234 x1z 10-05-23 2403 01 DE-LFER 4331350274 00 --%%-- --%%-- n --%%-- l01 12-06-23 2403 01 DE-LFER https://doi.org/10.1007/s00355-022-01419-1 2403 01 DE-LFER https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button 26 00 DE-206 The analysis of many phenomena requires partitioning societies into groups and studying the extent at which these groups are distributed with different intensities across relevant non-ordered categorical outcomes. When the groups are similarly distributed, their members have equal chances to achieve any of the attainable outcomes. Otherwise, a form of dissimilarity between groups distributions prevails. We characterize axiomatically the dissimilarity partial order of multi-group distributions defined over categorical outcomes. The main result provides an equivalent representation of this partial order by the ranking of multi-group distributions originating from the inclusion of their zonotope representations. The zonotope inclusion criterion refines (that is, is implied by) majorization conditions that are largely adopted in mainstream approaches to multi-group segregation or univariate and multivariate inequality analysis.
language	English
source	Enthalten in Social choice and welfare 60(2023), 3 vom: Apr., Seite 397-437 volume:60 year:2023 number:3 month:04 pages:397-437
sourceStr	Enthalten in Social choice and welfare 60(2023), 3 vom: Apr., Seite 397-437 volume:60 year:2023 number:3 month:04 pages:397-437
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topic_facet	Qualitative Methode Robustes Verfahren Sozialwissenschaft
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container_title	Social choice and welfare
authorswithroles_txt_mv	Andreoli, Francesco @@aut@@ Zoli, Claudio @@aut@@
publishDateDaySort_date	2023-04-01T00:00:00Z
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author	Andreoli, Francesco
spellingShingle	Andreoli, Francesco stw Qualitative Methode stw Robustes Verfahren stw Sozialwissenschaft Robust dissimilarity comparisons with categorical outcomes
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topic_title	26 00 DE-206 The analysis of many phenomena requires partitioning societies into groups and studying the extent at which these groups are distributed with different intensities across relevant non-ordered categorical outcomes. When the groups are similarly distributed, their members have equal chances to achieve any of the attainable outcomes. Otherwise, a form of dissimilarity between groups distributions prevails. We characterize axiomatically the dissimilarity partial order of multi-group distributions defined over categorical outcomes. The main result provides an equivalent representation of this partial order by the ranking of multi-group distributions originating from the inclusion of their zonotope representations. The zonotope inclusion criterion refines (that is, is implied by) majorization conditions that are largely adopted in mainstream approaches to multi-group segregation or univariate and multivariate inequality analysis Robust dissimilarity comparisons with categorical outcomes Francesco Andreoli, Claudio Zoli 1.1\x Qualitative Methode (DE-627)091384974 (DE-2867)19150-0 stw 1.2\x Robustes Verfahren (DE-627)091386942 (DE-2867)15062-3 stw 1.3\x Sozialwissenschaft (DE-627)091390621 (DE-2867)16563-4 stw
topic	stw Qualitative Methode stw Robustes Verfahren stw Sozialwissenschaft
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title	Robust dissimilarity comparisons with categorical outcomes
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title_full	Robust dissimilarity comparisons with categorical outcomes Francesco Andreoli, Claudio Zoli
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title_sort	robust dissimilarity comparisons with categorical outcomes
title_auth	Robust dissimilarity comparisons with categorical outcomes
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container_issue	3
title_short	Robust dissimilarity comparisons with categorical outcomes
url	https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button https://doi.org/10.1007/s00355-022-01419-1
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author2	Zoli, Claudio
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doi_str	10.1007/s00355-022-01419-1
callnumber-a	--%%--
up_date	2024-07-04T21:04:23.142Z
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code="z">10-05-23</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2403</subfield><subfield code="1">01</subfield><subfield code="x">DE-LFER</subfield><subfield code="b">4331350274</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">n</subfield><subfield code="j">--%%--</subfield><subfield code="y">l01</subfield><subfield code="z">12-06-23</subfield></datafield><datafield tag="981" ind1=" " ind2=" "><subfield code="2">2403</subfield><subfield code="1">01</subfield><subfield code="x">DE-LFER</subfield><subfield code="r">https://doi.org/10.1007/s00355-022-01419-1</subfield></datafield><datafield tag="981" ind1=" " ind2=" "><subfield code="2">2403</subfield><subfield code="1">01</subfield><subfield code="x">DE-LFER</subfield><subfield code="r">https://link.springer.com/content/pdf/10.1007/s00355-022-01419-1.pdf?pdf=button</subfield></datafield><datafield tag="982" ind1=" " ind2=" "><subfield code="2">26</subfield><subfield code="1">00</subfield><subfield code="x">DE-206</subfield><subfield code="b">The analysis of many phenomena requires partitioning societies into groups and studying the extent at which these groups are distributed with different intensities across relevant non-ordered categorical outcomes. When the groups are similarly distributed, their members have equal chances to achieve any of the attainable outcomes. Otherwise, a form of dissimilarity between groups distributions prevails. We characterize axiomatically the dissimilarity partial order of multi-group distributions defined over categorical outcomes. The main result provides an equivalent representation of this partial order by the ranking of multi-group distributions originating from the inclusion of their zonotope representations. The zonotope inclusion criterion refines (that is, is implied by) majorization conditions that are largely adopted in mainstream approaches to multi-group segregation or univariate and multivariate inequality analysis.</subfield></datafield></record></collection>
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Robust dissimilarity comparisons with categorical outcomes

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