基于函数型数据的城镇居民人均可支配收入聚类分析

Cluster Analysis of Per Capita Disposable Income of Urban Residents Based on Functional Data

针对1999—2018年中国31个省级行政区的城镇居民人均可支配收入,提出一种函数型数据聚类方法,聚类结果表明:中国城镇居民人均可支配收入呈不断增长的趋势。北京等3个省级行政区的城镇居民人均可支配收入历年较高,其增长率相对平稳;内蒙古等4个省级行政区的城镇居民人均可支配收入历年较低,其增长率呈现上升—下降—上升的趋势;天津等4个省级行政区的城镇居民人均可支配收入历年居中,其增长率呈现上升—下降—上升的趋势;河北等12个省级行政区的城镇居民人均可支配收入历年较低,其增长率呈现上升—下降的趋势;黑龙江等8个省级行政区的城镇居民人均可支配收入历年较低,其增长率呈现下降—上升—下降的趋势。

According to the per capita disposable income of urban residents in 31 provinces of China from 1999 to 2018,a functional data clustering method is proposed.The clustering results show that the per capita disposable income of urban residents in China is keep growing.The per capita disposable income of urban residents in Beijing and other 2 provinces is relatively high over the years,and its growth rate is relatively stable;the per capita disposable income of urban residents in Inner Mongolia and other 3 provinces is relatively low over the years,and its growth rate presents an“rising-descending-rising”trend;the per capita disposable income of urban residents in Tianjin and other 3 provinces is in the middle over the years,and its growth rate presents“rising-descending-rising”;the per capita disposable income of urban residents in Hebei and other 11 provinces is relatively low over the years,and its growth rate also shows an“rising-descending-rising”trend;and the per capita disposable income of urban residents in Heilongjiang and other 7 provinces is relatively low over the years,and its growth rate presents an“rising-descending-rising”trend.