基尼系數(shù)和錫爾系數(shù)計(jì)算

1、某一地區(qū)各個(gè)亞區(qū)的人口與GDP數(shù)據(jù)亞區(qū)代碼 人口數(shù)/萬人 GDP/億元130751479.71285503711.6133710911.86441921855.745256105.61636181487.6172543931.988510238.399543241.491017741168.55全區(qū)合計(jì)28771 12132.55洛洛倫倫茲茲曲曲線線的的繪繪制制亞亞區(qū)區(qū)代代碼碼人人口口數(shù)數(shù)/ /萬萬人人GDP/GDP/億億元元人人口口占占全全區(qū)區(qū)的的比比重重（p)p)GDPGDP占占全全區(qū)區(qū)的的比比重重(w)(w)w/pw/pp p的的累累計(jì)計(jì)（X)X)w w的的累累計(jì)計(jì)(Y)(Y)均均衡衡分

2、分布布人人口口占占全全區(qū)區(qū)的的比比重重均均衡衡分分布布GDPGDP占占全全區(qū)區(qū)的的比比重重0.000.000.000.003 337103710911.86911.860.130.130.080.080.580.580.130.130.080.080.130.130.130.137 725432543931.98931.980.090.090.080.080.870.870.220.220.150.150.090.090.090.096 6361836181487.611487.610.130.130.120.120.980.980.340.340.270.270.130.130.130.13

3、5 5256256105.61105.610.010.010.010.010.980.980.350.350.280.280.010.010.010.012 2855085503711.613711.610.300.300.310.311.031.030.650.650.590.590.300.300.300.304 4419241921855.741855.740.150.150.150.151.051.050.790.790.740.740.150.150.150.159 9543543241.49241.490.020.020.020.021.051.050.810.810.760.76

4、0.020.020.020.028 8510510238.39238.390.020.020.020.021.111.110.830.830.780.780.020.020.020.021 1307530751479.711479.710.110.110.120.121.141.140.940.940.900.900.110.110.110.111010177417741168.551168.550.060.060.100.101.561.561.001.001.001.000.060.060.060.06全全區(qū)區(qū)合合計(jì)計(jì) 287712877112132.5512132.55圖1.3 某地區(qū)G

5、DP分配的洛倫茲曲線1.00 0.80 0.60 0.40 0.20 0.00 0.00 0.20 0.40 0.60 0.80 1.00 人口比重累計(jì)GDP比重累計(jì)實(shí)際分布均衡分布計(jì)計(jì)算算基基尼尼系系數(shù)數(shù)均均衡衡分分布布時(shí)時(shí)p p的的累累計(jì)計(jì)均均衡衡分分布布時(shí)時(shí)w w的的累累計(jì)計(jì)lnXlnXlnYlnY（lnX*lnY）(lnX)2冪冪函函數(shù)數(shù)指指數(shù)數(shù)基基尼尼系系數(shù)數(shù)G2Y-w2Y-w0.000.000.130.130.130.13( (2 2. .0 05 5) )( (2 2. .5 59 9) )1 11 1. .2 28 89 9. .0 08 81 1. .2 24 40 0. .

6、1 10 08 80 0. .0 08 80.220.220.220.22( (1 1. .5 53 3) )( (1 1. .8 88 8) )0 0. .2 23 30.340.340.340.34( (1 1. .0 07 7) )( (1 1. .2 29 9) )0 0. .4 43 30.350.350.350.35( (1 1. .0 04 4) )( (1 1. .2 26 6) )0 0. .5 56 60.650.650.650.65( (0 0. .4 43 3) )( (0 0. .5 53 3) )0 0. .8 87 70.790.790.790.79( (0 0.

7、 .2 23 3) )( (0 0. .3 30 0) )1 1. .3 33 30.810.810.810.81( (0 0. .2 21 1) )( (0 0. .2 27 7) )1 1. .5 50 00.830.830.830.83( (0 0. .1 18 8) )( (0 0. .2 25 5) )1 1. .5 54 40.940.940.940.94( (0 0. .0 06 6) )( (0 0. .1 10 0) )1 1. .6 69 91.001.001.001.001 1. .9 90 0洛洛倫倫茲茲曲曲線線的的繪繪制制圖1.3 某地區(qū)GDP分配的洛倫茲曲線1.00

8、 0.80 0.60 0.40 0.20 0.00 0.00 0.20 0.40 0.60 0.80 1.00 人口比重累計(jì)GDP比重累計(jì)實(shí)際分布均衡分布計(jì)計(jì)算算錫錫爾爾系系數(shù)數(shù)p*(2Y-p*(2Y-w)w)基基尼尼系系數(shù)數(shù)Gp/wp/wlog(p/w)log(p/w)p*log(p/w)w/plog(w/p)w*log(w/p)1-p*(2Y-w)1-p*(2Y-w)0 0. .8 89 90 0. .1 10 05 51 1. .7 72 20 0. .2 23 30 0. .0 01 11 10 00 0. .5 58 8( (0 0. .2 23 3) )0 0. .0 01 10

9、03 31 1. .1 15 50 0. .0 06 60 0. .8 87 7( (0 0. .0 06 6) )1 1. .0 03 30 0. .0 01 10 0. .9 98 8( (0 0. .0 01 1) )1 1. .0 02 20 0. .0 01 10 0. .9 98 8( (0 0. .0 01 1) )0 0. .9 97 7( (0 0. .0 01 1) )1 1. .0 03 30 0. .0 01 10 0. .9 95 5( (0 0. .0 02 2) )1 1. .0 05 50 0. .0 02 20 0. .9 95 5( (0 0. .0 02

10、2) )1 1. .0 05 50 0. .0 02 20 0. .9 90 0( (0 0. .0 04 4) )1 1. .1 11 10 0. .0 04 40 0. .8 88 8( (0 0. .0 06 6) )1 1. .1 14 40 0. .0 06 60 0. .6 64 4( (0 0. .1 19 9) )1 1. .5 56 60 0. .1 19 9計(jì)計(jì)算算基基尼尼系系數(shù)數(shù)pw2y-w周 口 市10911065.370.109394 0.053949 0.493161 0.109394 0.053949 0.053949駐 馬店 市853900.520.085567

11、 0.045601 0.5329330.194960.09955 0.153499信 陽 市807929.000.080931 0.047043 0.581271 0.275892 0.146593 0.246143商 丘 市832995.550.083496 0.050413 0.603776 0.359388 0.197006 0.343599南 陽 市10961714.490.109961 0.086819 0.789547 0.469349 0.283826 0.480832開 封 市486778.720.04878 0.039433 0.808394 0.518129 0.32325

12、9 0.607085新 鄉(xiāng) 市563991.980.056521 0.050232 0.888733 0.574651 0.3734910.69675濮 陽 市365661.630.03663 0.033504 0.9146650.61128 0.406996 0.780487安 陽 市5451124.880.054626 0.056962 1.042777 0.665906 0.463958 0.870953平 頂山 市5041127.810.050523 0.057111 1.130398 0.716429 0.521068 0.985026漯 河 市258591.700.025887 0

13、.029963 1.157457 0.742316 0.5510311.0721許 昌 市4581130.750.045979 0.057259 1.245349 0.788294 0.608291 1.159322鶴 壁 市146363.630.014691 0.018414 1.253427 0.802985 0.626704 1.234995洛 陽 市6582001.480.065957 0.101352 1.536635 0.868942 0.728057 1.354761焦 作 市3481071.420.034919 0.054255 1.553765 0.903861 0.7823

14、12 1.510369三 門峽 市224702.750.022471 0.035586 1.583624 0.926332 0.8178981.60021濟(jì) 源 市68287.610.006821 0.014564 2.135185 0.933153 0.8324621.65036鄭 州 市6663308.510.066847 0.167538 2.50628411 1.832462996919748-2.2128 -2.91972 18.07652 12.33944 0.726452-1.63496 -2.30709-1.28775 -1.920091.464939-1.02335 -1.62452-