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The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Sweden, 2005

Finland, 2004

0.0 0.2 0.4 0.6 0.8 1.0

0.240.250.260.270.280.29

0.0 0.2 0.4 0.6 0.8 1.0

-0.15-0.10-0.050.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.00.10.20.3

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.260.270.280.290.300.31

0.0 0.2 0.4 0.6 0.8 1.0

-0.10-0.050.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.200.250.30

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Czech Rep, 2004

Austria, 2004

0.0 0.2 0.4 0.6 0.8 1.0

0.260.270.280.290.30

0.0 0.2 0.4 0.6 0.8 1.0

-0.10-0.050.000.05

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.200.25

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.270.280.290.30

0.0 0.2 0.4 0.6 0.8 1.0

-0.10-0.050.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.200.250.30

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Luxembourg, 2004

Switzerland, 2004

0.0 0.2 0.4 0.6 0.8 1.0

0.270.280.290.300.31

0.0 0.2 0.4 0.6 0.8 1.0

-0.10-0.050.000.050.100.15

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.200.250.30

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.270.280.290.300.310.32

0.0 0.2 0.4 0.6 0.8 1.0

-0.050.000.050.100.15

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.200.25

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Netherland, 2004

France, 2005

0.0 0.2 0.4 0.6 0.8 1.0

0.280.290.300.31

0.0 0.2 0.4 0.6 0.8 1.0

-0.10-0.050.000.050.100.15

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.200.250.30

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.280.290.300.31

0.0 0.2 0.4 0.6 0.8 1.0

-0.050.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.200.25

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Norway, 2004

Germany, 2004

0.0 0.2 0.4 0.6 0.8 1.0

0.280.290.300.310.320.33

0.0 0.2 0.4 0.6 0.8 1.0

-0.10-0.050.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.200.250.30

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.2900.3000.3100.320

0.0 0.2 0.4 0.6 0.8 1.0

-0.10-0.050.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.200.25

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Hungary, 2005

Taiwan, 2005

0.0 0.2 0.4 0.6 0.8 1.0

0.2900.3000.3100.320

0.0 0.2 0.4 0.6 0.8 1.0

-0.10-0.050.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.200.25

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.3050.3100.3150.320

0.0 0.2 0.4 0.6 0.8 1.0

-0.06-0.020.020.040.06

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.15

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

South Korea, 2006

Belgium, 2000

0.0 0.2 0.4 0.6 0.8 1.0

0.3150.3200.325

0.0 0.2 0.4 0.6 0.8 1.0

-0.04-0.020.000.020.040.06

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.15

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.320.330.340.350.36

0.0 0.2 0.4 0.6 0.8 1.0

-0.10-0.050.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.200.250.30

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Australia, 2003

Canada, 2004

0.0 0.2 0.4 0.6 0.8 1.0

0.3200.3250.3300.3350.340

0.0 0.2 0.4 0.6 0.8 1.0

-0.050.000.05

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.20

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.3200.3250.3300.3350.3400.345

0.0 0.2 0.4 0.6 0.8 1.0

-0.050.000.05

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.20

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Ireland, 2004

Spain, 2004

0.0 0.2 0.4 0.6 0.8 1.0

0.3200.3300.3400.350

0.0 0.2 0.4 0.6 0.8 1.0

-0.050.000.05

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.20

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.3200.3250.3300.3350.340

0.0 0.2 0.4 0.6 0.8 1.0

-0.06-0.020.020.040.06

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.15

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Poland, 2004

Greece, 2004

0.0 0.2 0.4 0.6 0.8 1.0

0.330.340.350.36

0.0 0.2 0.4 0.6 0.8 1.0

-0.050.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.20

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.3300.3350.3400.3450.350

0.0 0.2 0.4 0.6 0.8 1.0

-0.06-0.04-0.020.000.020.04

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.15

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Italy, 2004

Estonia, 2004

0.0 0.2 0.4 0.6 0.8 1.0

0.3500.3550.3600.3650.370

0.0 0.2 0.4 0.6 0.8 1.0

-0.050.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.20

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.340.350.360.370.380.39

0.0 0.2 0.4 0.6 0.8 1.0

-0.10-0.050.000.05

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.150.20

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

UK, 2004

USA, 2004

0.0 0.2 0.4 0.6 0.8 1.0

0.3550.3600.3650.3700.375

0.0 0.2 0.4 0.6 0.8 1.0

-0.050.000.05

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.15

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.3750.3850.395

0.0 0.2 0.4 0.6 0.8 1.0

-0.050.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.15

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Israel, 2004

Russia, 2000

0.0 0.2 0.4 0.6 0.8 1.0

0.370.380.390.400.410.42

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.15

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.4250.4350.445

0.0 0.2 0.4 0.6 0.8 1.0

-0.06-0.04-0.020.000.020.04

0.0 0.2 0.4 0.6 0.8 1.0

0.000.050.100.15

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Uruguay, 2004

Mexico, 2004

0.0 0.2 0.4 0.6 0.8 1.0

0.450.460.470.48

0.0 0.2 0.4 0.6 0.8 1.0

-0.020.000.020.040.060.080.10

0.0 0.2 0.4 0.6 0.8 1.0

0.000.020.040.060.080.100.12

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.470.480.490.50

0.0 0.2 0.4 0.6 0.8 1.0

0.000.020.040.060.08

0.0 0.2 0.4 0.6 0.8 1.0

0.000.020.040.060.080.10

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Brazil, 2006

Guatemala, 2006

0.0 0.2 0.4 0.6 0.8 1.0

0.500.510.520.53

0.0 0.2 0.4 0.6 0.8 1.0

0.000.020.040.060.08

0.0 0.2 0.4 0.6 0.8 1.0

0.000.020.040.060.08

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.510.520.530.540.55

0.0 0.2 0.4 0.6 0.8 1.0

0.000.020.040.060.08

0.0 0.2 0.4 0.6 0.8 1.0

0.000.020.040.060.080.10

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

Annex 3. The Gini Index e-i Curve for Individual Equivalised Disposable Income and Its Approximations (Continued)

Peru, 2004

Columbia, 2004

0.0 0.2 0.4 0.6 0.8 1.0

0.5250.5300.5350.5400.545

0.0 0.2 0.4 0.6 0.8 1.0

-0.020.000.020.040.06

0.0 0.2 0.4 0.6 0.8 1.0

0.000.020.040.060.080.10

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve

0.0 0.2 0.4 0.6 0.8 1.0

0.530.540.550.56

0.0 0.2 0.4 0.6 0.8 1.0

0.000.020.040.060.08

0.0 0.2 0.4 0.6 0.8 1.0

0.000.020.040.060.080.10

Gini

Origianl MLN

Type I approximation Type II approximation The e-icurve Derivative of the e-icurve

2ndorder derivative of the e-icurve