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(wàn)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(wàn)萬(wàn)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(yáng) 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(yáng) 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(yáng) 市365661.630.03663 0.033504 0.9146650.61128 0.406996 0.780487安 陽(yáng) 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(yáng) 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-