【正确答案】首先,作为计算基尼系数的数据,我们计算累计家庭比率X和累计收入比率Y(见表2-4)。
| 累计收入比率Y | ① 盂加拉国 | | | | | | | | | O.2 0.4 0.6 O.8 1.0 | 0.094 0.229 0.401 O.621 1.000 | 0.085 0.206 0.364 0.575 1.000 | 0.062 0.167 0.325 0.561 1.000 | 0.065 0.166 0.310 0.522 1.000 | 0.056 0.143 0.273 0.473 1000 | 0.046 0.129 0.259 0463 1.000 | 0.074 0.197 0.360 0.578 1.000 | 0.073 0.203 0.377 0.609 1.000 | 0.081 0.212 0.387 O.617 1.000 | |
说明:①~⑥按个人分组,⑦~⑨按家庭分组。
(1) ①孟加拉国
根据(2-1)式,计算基尼系数G
B,得
G
B=1-∑(X
i-X
i-1)(Y
i+Y
i-1)
=1-[(0.2-0)×(0.094+0)
+(0.4-0.2)×(0.229+0.094)+(0.6-0.4)×(0.401+0.229)
+(0.8-0.6)×(0.621+0.401)+(1.0-0.8)×(1.000+0.621)]
=1-(0.0188+0.0646+0.1260+0.2044+0.3242)
=1-0.7380
=0.2620
②印度
G
I=1-∑(X
i-X
i-1)(Y
i+Y
i-1)
=1-(0.0170+0.0582+0.1140+0.1878+0.3150)
=1-0.6920
=0.3080
③中国大陆
G
C=1-∑(X
i-X
i-1)(Y
i+Y
i-1)
=1-(0.0124+0.0458+0.0984+0.1772+0.3122)
=1-0.6460
=0.3540
④菲律宾
G
P=1-∑(X
i-X
i-1)(Y
i+Y
i-1)
=1-(0.0130+0.0462+0.0952+0.1664+0.3044)
=1-0.6252
=0.3748
⑤泰国
G
T=1-∑(X
i-X
i-1)(Y
i+Y
i-1)
=1-(0.0122+0.0398+0.0832+0.1492+0.2946)
=1-0.5780
=0.4220
⑥马来西亚
G
M=1-∑(X
i-X
i-1)(Y
i+Y
i-1)
=1-(0.0092+0.0350+0.0776+0.1444+0.2926)
=1-0.5588
=0.4412
⑦韩国
G
K=1-∑(X
i-X
i-1)(Y
i+Y
i-1)
=1-(0.0148+0.0542+0.1114+0.1876+0.3156)
=1-0.6836
=0.3164
⑧中国台湾
G
TA=1-∑(X
i-X
i-1)(Y
i+Y
i-1)
=1-(0.0146+0.0552+0.1160+0.1972+0.3218)
=1-0.7048
=0.2952
⑨日本
G
J=1-∑(X
i-X
i-1)(Y
i+Y
i-1)
=1-(0.0162+0.0586+0.1198+0.2008+0.3234)
=1-0.7188
=0.2812