洛伦兹曲线与集中化指数作业

1、洛伦兹曲线与集中化指数洛伦兹曲线与集中化指数某一地区各个亚区的某一地区各个亚区的GDP GDP 数据如下表所示。试数据如下表所示。试作出其各年份的洛伦兹曲线、计算集中化指数，作出其各年份的洛伦兹曲线、计算集中化指数，并由此比较不同年份该地区并由此比较不同年份该地区GDP GDP 在亚区之在亚区之间分布的集中化程度。间分布的集中化程度。亚区代码亚区代码 年份年份1999199920002000200120012002200220032003200420041 11645.531645.533769.693769.693755.613755.613469.813469.813445.993445.

2、992962.482962.482 279.6679.66151.55151.55174.88174.88153.98153.98137.41137.41141.92141.923 3390.24390.24628.94628.94673.39673.39735.93735.93634.23634.23641.52641.524 474.1274.12210.81210.81223.87223.87193.17193.17173.03173.03162.78162.785 5167.38167.38517.09517.09411.58411.58462.88462.88393.17393.17

3、480.73480.736 644.5544.55187.06187.06201.89201.89189.5189.5189.69189.69154.75154.757 7150.88150.88402.74402.74465.04465.04499.11499.11446.98446.98469.67469.678 8211.62211.62657.16657.16733.89733.89921.47921.47938.48938.481036.941036.949 9136.7136.7256.6256.6271.15271.15329.78329.78354.43354.43343.18

4、343.18合计合计2900.682900.686676.36676.3911.29911.296955.996955.996713.166713.166394.286394.28习题习题2.82.8表表 某地区各个亚区的某地区各个亚区的GDP GDP 数据（单位：亿元）数据（单位：亿元）自然序自然序号号亚区代亚区代码码19991999占总收入的比占总收入的比重重/%/%累计百分比累计百分比/%/%1 11 11645.51645.53 356.73%56.73%56.73%56.73%2 23 3390.24390.2413.45%13.45%70.18%70.18%3 38 8211.62

5、211.627.30%7.30%77.48%77.48%4 45 5167.38167.385.77%5.77%83.25%83.25%5 57 7150.88150.885.20%5.20%88.45%88.45%6 69 9136.7136.74.71%4.71%93.16%93.16%7 72 279.6679.662.75%2.75%95.91%95.91%8 84 474.1274.122.56%2.56%98.46%98.46%9 96 644.5544.551.54%1.54%100.00%100.00%19991999年各个亚区的年各个亚区的GDP GDP 数据大小排序比例及累

6、计百分比（单位：亿元）数据大小排序比例及累计百分比（单位：亿元）自然序号自然序号亚区代码亚区代码20002000占总收入的比重占总收入的比重/%/%累计百分比累计百分比/%/%1 11 13769.693769.6955.59%55.59%55.59%55.59%2 28 8657.16657.169.69%9.69%65.28%65.28%3 33 3628.94628.949.27%9.27%74.55%74.55%4 45 5517.09517.097.62%7.62%82.18%82.18%5 57 7402.74402.745.94%5.94%88.11%88.11%6 69 925

7、6.6256.63.78%3.78%91.90%91.90%7 74 4210.81210.813.11%3.11%95.01%95.01%8 86 6187.06187.062.76%2.76%97.77%97.77%9 92 2151.55151.552.23%2.23%100.00%100.00%20002000年各个亚区的年各个亚区的GDP GDP 数据大小排序比例及累计百分比（单位：亿元）数据大小排序比例及累计百分比（单位：亿元）20012001年各个亚区的年各个亚区的GDP GDP 数据大小排序比例及累计百分比（单位：亿元）数据大小排序比例及累计百分比（单位：亿元）自然序自然序号号

8、亚区代亚区代码码20012001占总收入的比占总收入的比重重/%/%累计百分比累计百分比/%/%1 11 13755.63755.61 154.34%54.34%54.34%54.34%2 28 8733.89733.8910.62%10.62%64.96%64.96%3 33 3673.39673.399.74%9.74%74.70%74.70%4 45 5465.04465.046.73%6.73%81.43%81.43%5 55 5411.58411.585.96%5.96%87.39%87.39%6 69 9271.15271.153.92%3.92%91.31%91.31%7 74

9、4223.87223.873.24%3.24%94.55%94.55%8 86 6201.89201.892.92%2.92%97.47%97.47%9 92 2174.88174.882.53%2.53%100.00%100.00%20022002年各个亚区的年各个亚区的GDP GDP 数据大小排序比例及累计百分比（单位：亿元）数据大小排序比例及累计百分比（单位：亿元）自然序自然序号号亚区代亚区代码码20022002占总收入的比占总收入的比重重/%/%累计百分比累计百分比/%/%1 11 13469.83469.81 149.88%49.88%49.88%49.88%2 28 8921.47

10、921.4713.25%13.25%63.13%63.13%3 33 3735.93735.9310.58%10.58%73.71%73.71%4 47 7499.11499.117.18%7.18%80.89%80.89%5 55 5462.88462.886.65%6.65%87.54%87.54%6 69 9329.78329.784.74%4.74%92.28%92.28%7 74 4193.17193.172.78%2.78%95.06%95.06%8 86 6189.5189.52.72%2.72%97.79%97.79%9 92 2153.98153.982.21%2.21%10

11、0.00%100.00%20032003年各个亚区的年各个亚区的GDP GDP 数据大小排序比例及累计百分比（单位：亿元）数据大小排序比例及累计百分比（单位：亿元）自然序自然序号号亚区代亚区代码码20032003占总收入的比占总收入的比重重/%/%累计百分比累计百分比/%/%1 11 13445.93445.99 951.33%51.33%51.33%51.33%2 28 8938.48938.4813.98%13.98%65.31%65.31%3 33 3634.23634.239.45%9.45%74.76%74.76%4 47 7446.98446.986.66%6.66%81.41%8

12、1.41%5 55 5393.17393.175.86%5.86%87.27%87.27%6 69 9354.43354.435.28%5.28%92.55%92.55%7 76 6189.69189.692.83%2.83%95.38%95.38%8 84 4173.03173.032.58%2.58%97.95%97.95%9 92 2137.41137.412.05%2.05%100.00%100.00%20042004年各个亚区的年各个亚区的GDP GDP 数据大小排序比例及累计百分比（单位：亿元）数据大小排序比例及累计百分比（单位：亿元）自然序自然序号号亚区代亚区代码码2004200

13、4占总收入的比占总收入的比重重/%/%累计百分比累计百分比/%/%1 11 12962.482962.4846.33%46.33%46.33%46.33%2 28 81036.941036.9416.22%16.22%62.55%62.55%3 33 3641.52641.5210.03%10.03%72.58%72.58%4 45 5480.73480.737.52%7.52%80.10%80.10%5 57 7469.67469.677.35%7.35%87.45%87.45%6 69 9343.18343.185.37%5.37%92.81%92.81%7 74 4162.78162.7

14、82.55%2.55%95.36%95.36%8 86 6154.75154.752.42%2.42%97.78%97.78%9 92 2141.92141.922.22%2.22%100.00%100.00%19991999年各个亚区的年各个亚区的GDP GDP 数据构成的洛伦兹曲线（单位：亿元）数据构成的洛伦兹曲线（单位：亿元）20042004年各个亚区的年各个亚区的GDP GDP 数据构成的洛伦兹曲线（单位：亿元）数据构成的洛伦兹曲线（单位：亿元）19991999年各个亚区的年各个亚区的GDPGDP数据集中化指数：数据集中化指数：A= =iP Pi i=56.73+70.18+77.48

15、+100=763.63=56.73+70.18+77.48+100=763.63R=1/9R=1/9100+2/9100+2/9100+3/9100+3/9100+9/9100+9/9100=500100=500M=100+100+100+100=900M=100+100+100+100=900I I19991999= =50090050063.763=65.91=65.91I=A-R/M-RI=A-R/M-R同样，根据表中数据，也可以计算同样，根据表中数据，也可以计算20042004年该地区各个亚区年该地区各个亚区的的GDPGDP数据集中化指数：数据集中化指数：I I20042004= =50090050054.