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Analysis of the regional differences between fixed assets investment and China's economic growth from the perspective of functional data

机译：从功能数据角度分析固定资产投资与中国经济增长之间的区域差异

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Investment, consumption and export are the troika which promotes China's economic development. Investment is the most important factor and plays a vital role to drive economic growth. However, due to the differences in the geographical location, education level and infrastructure construction of various regions in China, the structure of economic development and the imbalance of growth still exist. This paper takes the fixed asset investment of 31 provinces, municipalities and autonomous regions in my country from 1999 to 2017 as the research objects in our country and uses functional data analysis methods to functionalize discrete data, uses Fourier basis functions to fit the smooth curve, and then uses FPCA analysis of the characteristics of the principal component function shows that the contribution rates of the first two principal components to the regional economy are 96.4% and 2.8% respectively, and the cumulative contribution rate reaches 99.2%, which can represent most of the sample information to a certain extent. Therefore, this paper uses the first two main components to analyse the overall change for law of China's regional economy, and roughly divides my country's 31 provinces and municipalities into 4 categories and adjust my country's economic development structure and promote coordinated regional development.
机译：投资，消费和出口是推动中国经济发展的三驾驾。投资是最重要的因素，并发挥着推动经济增长的重要作用。然而，由于地理位置的差异，中国各地区的教育水平和基础设施建设，经济发展的结构和增长的不平衡仍然存在。本文从1999年到2017年，我国31个省，市政当局和自治区的固定资产投资为我国的研究对象并使用功能数据分析方法来运作离散数据，使用傅立叶基函数来适合平滑曲线，然后使用FPCA分析主要成分函数的特点表明，第一个两个主要成分对区域经济的贡献率分别为96.4％和2.8％，累计缴费率达到99.2％，这可以代表大部分在一定程度上的示例信息。因此，本文采用前两个主要组成部分分析了中国区域经济法律的总体变革，大致将我国31个省市为4个类别，调整我国的经济发展结构，促进协调区域发展。

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