Pareto分布中门槛值确定与其在经济学中应用

本篇论文的目的:1.检验中国股票市场指数收益率是否服从Pareto分布并求其门槛值;2.检验中国的财富分布是否服从Pareto分布。近年来,越来越多的学者运用各种统计策略对中国股票市场进行浅析浅析研究,与发达国家比较成熟的证券市场不同,中国证券市场作为一个新兴的市场,具有其鲜明的中国特色,国外的理论和策略对于中国证券市场是否适用需要验证。本文利用Pareto分布对上证指数收益率进行拟合,发现拟合情况良好。本文首先对上证指数收益率的正态性进行检验,采用偏度、峰度检验和K-S检验对上证综合指数进行了检验,发现上证指数收益率既不服从传统经济学断言的正态分布,也不服从Lévy分布。然后对上证指数收益率进行拟合优度检验,发现Pareto分布可以很好的对其进行拟合,即我国股票市场的特点可以用Pareto分布来描述。这一发现将帮助我们从新的角度来认识中国的股票市场,并指导我们更好的把握市场规律。在收入分配领域内,国外学者大部分都是对资本主义国家的收入分布和财富分布进行实证研究,通过多年的研究,对收入分布与财富分布的特点有了比较多的认识和共识,认为财富分布在大多数情况下服从Pareto分布。因此,为了检验我国的财富分布特点,本为对我国的财富分布进行了实证浅析浅析,发现我国的财富分布服从Pareto分布。这一结论具有重要意义,它将为决策者调整我国的收入分配政策提供一定的依据,这在提倡建设和谐社会的今天尤为重要。

【Abstract】wWw.shuoshilunwen.com The aim of this paper is: 1. To test whether the returns of index ofChinese stock market can be described with Pareto distribution andconfirm the threshold value of Pareto distribution 2. To test whetherPareto distribution can fit wealth distribution in China.In recent years, more and more researchers use lots of statisticalmethods to study the character of Chinese stock market. Compared withthe perfect stock markets in advanced countries, Chinese stock markethas its unique character as a new stock market. So we must test whetherthe theory and methods of stock markets of overseas can be used in China.This paper make use of Pareto distribution to fit the return of SSEC andthe result is very good.First, we test the normality of SSEC using skewnes, kurtosis and Kolmogorov-Smimov (K-S) test, the result of normality indicates thatreturns of index of Chinese stock market can not be described withnormal distribution affirmed in traditional economy nor Lévy distribution.Then, we test the goodness of fit of the return of SSEC and we find thatPareto distribution can described Chinese stock market very well. Theconclusion can help us re-recognise the Chinese stock market in somenew points of view and predominate the market rules.In distribution field, foreign researchers mostly study on the incomedistribution and wealth distribution on capitalistic countries. With thefruits of this years researching, most of them agree the wealth distributioncan be described with Pareto distribution. So, we need test whether thewealth distribution in China can be fitted with Pareto distribution. Theresult of empirical research indicate that the wealth distribution in Chinaalso can be described with Pareto distribution. This conclusion is in it’sgreat sense for it will help decision-maker establish and regulate theincome distribution policy in China.

【关键词】 Pareto分布;门槛值;拟合优度;经验分布函数;
【Key words】 Pareto distribution;Threshold value;Goodness-of-fit;Empirical distribution function;

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