![Three examples for applications of IneqComps V07 2025-06-19:
Source data:
- Income after taxation, 1995, Germany (western part)
- Source: section 20.10.4 in "Statistisches Jahrbuch 1999"
- Sequence in Quantile: [taxpayers per quantile, avg.income (DM) per taxpayer]
(1) --------------------------------------------------------------------------
IneqComps.exe " 1145008,2954120640| 1274868,9680072724| 1489169,18586318289|1309984,22809441408| 1227877,27624776746|1333681,36713570568|3136635,110400142095| 3619401,162869425599| 3105688,170061263504| 3252768,217925697696| 3383398,291368085566| 3126897,420417555444|207672,68629365840| 49031,32752266721|13820,18659363220| 5249,15461396661| 1247,8458445892|686,14801378844"
IneqComps V07 2025-06-19
rSym = 0.39068 (symmetric Theil redundancy)
zSym = 32.340% (symmetric Atkinson index, zSym = 1-exp(-rSym))
zHoover = 29.691% (Hoover index)
zPlato = 42.754% (Plato inequality, Theil equivalent ratio: 71.377:28.623)
zGini = 42.162% (Gini index, Gini equivalent ratio: 71.081:28.919)
(2) --------------------------------------------------------------------------
IneqComps2ratios.exe "71.377,28.623|28.623,71.377"
IneqComps V07 2025-06-19
rSym = 0.39067 (symmetric Theil redundancy)
zSym = 32.340% (symmetric Atkinson index, zSym = 1-exp(-rSym))
zHoover = 42.754% (Hoover index)
zPlato = 42.754% (Plato inequality, Theil equivalent ratio: 71.377:28.623)
zGini = 42.754% (Gini index, Gini equivalent ratio: 71.377:28.623)
(3) --------------------------------------------------------------------------
IneqComps.exe "71.081,28.919|28.919,71.081"
IneqComps V07 2025-06-19
rSym = 0.37917 (symmetric Theil redundancy)
zSym = 31.557% (symmetric Atkinson index, zSym = 1-exp(-rSym))
zHoover = 42.162% (Hoover index)
zPlato = 42.162% (Plato inequality, Theil equivalent ratio: 71.081:28.919)
zGini = 42.162% (Gini index, Gini equivalent ratio: 71.081:28.919)](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:xfzrs7vpxjepuj6kwyjceoqf/bafkreiajy7wcuqp4fokzq5sz75mqo73bsnnc4mjntgw2doilnm6unybg3e)
Three examples for applications of IneqComps V07 2025-06-19: Source data: - Income after taxation, 1995, Germany (western part) - Source: section 20.10.4 in "Statistisches Jahrbuch 1999" - Sequence in Quantile: [taxpayers per quantile, avg.income (DM) per taxpayer] (1) -------------------------------------------------------------------------- IneqComps.exe " 1145008,2954120640| 1274868,9680072724| 1489169,18586318289|1309984,22809441408| 1227877,27624776746|1333681,36713570568|3136635,110400142095| 3619401,162869425599| 3105688,170061263504| 3252768,217925697696| 3383398,291368085566| 3126897,420417555444|207672,68629365840| 49031,32752266721|13820,18659363220| 5249,15461396661| 1247,8458445892|686,14801378844" IneqComps V07 2025-06-19 rSym = 0.39068 (symmetric Theil redundancy) zSym = 32.340% (symmetric Atkinson index, zSym = 1-exp(-rSym)) zHoover = 29.691% (Hoover index) zPlato = 42.754% (Plato inequality, Theil equivalent ratio: 71.377:28.623) zGini = 42.162% (Gini index, Gini equivalent ratio: 71.081:28.919) (2) -------------------------------------------------------------------------- IneqComps2ratios.exe "71.377,28.623|28.623,71.377" IneqComps V07 2025-06-19 rSym = 0.39067 (symmetric Theil redundancy) zSym = 32.340% (symmetric Atkinson index, zSym = 1-exp(-rSym)) zHoover = 42.754% (Hoover index) zPlato = 42.754% (Plato inequality, Theil equivalent ratio: 71.377:28.623) zGini = 42.754% (Gini index, Gini equivalent ratio: 71.377:28.623) (3) -------------------------------------------------------------------------- IneqComps.exe "71.081,28.919|28.919,71.081" IneqComps V07 2025-06-19 rSym = 0.37917 (symmetric Theil redundancy) zSym = 31.557% (symmetric Atkinson index, zSym = 1-exp(-rSym)) zHoover = 42.162% (Hoover index) zPlato = 42.162% (Plato inequality, Theil equivalent ratio: 71.081:28.919) zGini = 42.162% (Gini index, Gini equivalent ratio: 71.081:28.919)
How to use IneqComps (drive.proton.me/urls/W3S6T8P...) V07 2025-06-19:
#IncomeDistribution, #WealthDistribution, #Gini, #GiniIndex, #PlatoInequality, #TheilRedundancy, #TheilS, #HooverInequality, #inequality, #inequity, #AtkinsonIndex, #AtkinsonInequality, #EntropyMeasures, #InequalityMeasures