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一類與洛倫茲曲線相關(guān)的不平等指數(shù)測(cè)度對(duì)比研究

發(fā)布時(shí)間:2018-01-09 03:21

  本文關(guān)鍵詞:一類與洛倫茲曲線相關(guān)的不平等指數(shù)測(cè)度對(duì)比研究 出處:《山西財(cái)經(jīng)大學(xué)》2017年碩士論文 論文類型:學(xué)位論文


  更多相關(guān)文章: 基尼系數(shù) Bonferroni指數(shù) Canberra指數(shù) Zenga指數(shù) 測(cè)度差異


【摘要】:隨著經(jīng)濟(jì)的快速發(fā)展會(huì)伴生一系列的經(jīng)濟(jì)問(wèn)題,不平等現(xiàn)象的加劇一直是經(jīng)濟(jì)學(xué)家研究的重點(diǎn),不平等問(wèn)題的存在是導(dǎo)致各國(guó)經(jīng)濟(jì)、社會(huì)、甚至政治問(wèn)題的根本原因,因此各國(guó)一直以來(lái)都從未間斷對(duì)于不平等的研究。國(guó)外對(duì)于不平等的研究早已有成熟的方法理論,但我國(guó)目前有關(guān)不平等指數(shù)方法的文獻(xiàn)還停留在基尼系數(shù)、泰爾指數(shù)等傳統(tǒng)的指數(shù)上。為了突破這一障礙,本文引進(jìn)一類與洛倫茲曲線相關(guān)并具有優(yōu)良性質(zhì)的不平等測(cè)度指數(shù):Bonferroni指數(shù)(簡(jiǎn)稱B指數(shù))、De Vergottini指數(shù)(簡(jiǎn)稱V指數(shù))、Zenga指數(shù)(簡(jiǎn)稱Z指數(shù))和Canberra指數(shù)(簡(jiǎn)稱C指數(shù))這四種不平等指數(shù),它們都可以基于洛倫茲曲線的調(diào)整表示,與傳統(tǒng)的Gini系數(shù)相結(jié)合,揭示這些指數(shù)間的關(guān)聯(lián),探討了這幾種指數(shù)所具備的一些性質(zhì),并基于CFPS微觀數(shù)據(jù)庫(kù)中的家庭人均收入數(shù)據(jù)運(yùn)用各指數(shù)進(jìn)行了測(cè)度分析,以深入了解各指數(shù)的測(cè)度差異。本文首次對(duì)一類與洛倫茲曲線相關(guān)的不平等指數(shù)進(jìn)行了系統(tǒng)的介紹,通過(guò)文獻(xiàn)研究法整理了各指數(shù)的構(gòu)建理論、不平等曲線的定義及其不平等指數(shù)所應(yīng)具備的一些性質(zhì)。在此基礎(chǔ)上通過(guò)對(duì)公式的理論推導(dǎo)與實(shí)證分析相結(jié)合的方法揭示了各指數(shù)之間的關(guān)聯(lián),對(duì)各指數(shù)所具備的性質(zhì)作了對(duì)比分析,并闡釋了這幾種不平等指數(shù)的測(cè)度差異。本文的創(chuàng)新點(diǎn)主要在于通過(guò)理論分析與實(shí)證分析結(jié)合的方法從不平等測(cè)度水平值的差異、不平等動(dòng)態(tài)變化測(cè)度的差異和不平等分解測(cè)度的差異三方面探究了這一類與洛倫茲曲線相關(guān)的不平等指數(shù)測(cè)度差異。從不平等測(cè)度水平值的差異中得出:不同的不平等指數(shù)構(gòu)造理念不同,測(cè)度結(jié)果也就會(huì)存在一定的差異,分析各指數(shù)的構(gòu)造理念可知這幾種不平等指數(shù)在數(shù)量上存在一種大小關(guān)系:Gini(7)C(8)?B?Z?V。從不平等動(dòng)態(tài)變化測(cè)度差異中發(fā)現(xiàn):各不平等指數(shù)所關(guān)注的群體不同,基尼系數(shù)對(duì)中高等收入群體更敏感,B指數(shù)和C指數(shù)對(duì)低收入群體較敏感,V指數(shù)對(duì)高收入群體較敏感,而Z指數(shù)對(duì)高收入群體與低收入群體同樣關(guān)注。對(duì)于不平等分解測(cè)度的差異,主要從指數(shù)分解的徹底性和分解方法的不同兩方面分析了差異。從各指數(shù)分解的徹底性上來(lái)看,只有Z指數(shù)具備加和分解性,可以分解徹底,而其他指數(shù)都分解不干凈,有不可解釋的余項(xiàng),政策指導(dǎo)意義不明確。此外,只有Z指數(shù)具備子要素和子群的聯(lián)合分解這一獨(dú)特性。從各指數(shù)分解方法的不同可得出:僅采用各組收入份額進(jìn)行加權(quán)分解會(huì)大大減弱組間不平等貢獻(xiàn),若采用各組人口份額進(jìn)行加權(quán)分解則會(huì)提高組間不平等貢獻(xiàn),且采用收入份額加權(quán)與人口份額加權(quán)的結(jié)果可能會(huì)截然相反。最后據(jù)本文對(duì)各指數(shù)的差異分析得到關(guān)于不平等指數(shù)的選用及其方法上的一些啟發(fā),并分析了本文的不足之處。
[Abstract]:With the rapid development of economy will accompany a series of economic problems, the increase of inequality has been the focus of economists, the existence of inequality is leading to the national economy, society. Even the root causes of political problems, so countries have never stopped the study of inequality. Foreign research on inequality has long been a mature theory of methods. However, the literature about inequality index method in our country still stays on the traditional index such as Gini coefficient, Thiel index and so on. In order to break through this obstacle. In this paper, we introduce a class of inequality measure index: Bonferroni index (B index), which is related to Lorentz curve and has good properties. De Vergottini index (Z index) and Canberra index (C index) are four kinds of inequality index. Both of them can be combined with the traditional Gini coefficient based on the adjustment representation of Lorentz curve to reveal the correlation between these indices and to discuss some properties of these indices. And based on the data of household per capita income in CFPS microcosmic database, this paper uses each index to measure and analyze. In order to understand the measurement difference of each index, this paper firstly introduces a class of inequality index related to Lorentz curve, and collates the construction theory of each index by literature research method. Based on the definition of inequality curve and some properties of inequality index, the relationship between the indices is revealed by combining the theoretical derivation of formula with empirical analysis. The properties of each index are compared and analyzed. The innovation of this paper mainly lies in the difference of the measurement level of inequality through the combination of theoretical analysis and empirical analysis. This paper explores the difference of inequality index measure related to Lorentz curve from three aspects: the difference of the measure of dynamic variation of inequality and the difference of measure of inequality decomposition. Different inequality index constructs different ideas. There will be some differences in the measurement results. By analyzing the structural concepts of each index, we can see that these inequality indices have a size relation in quantity. B? Z? From the difference of dynamic change of inequality, it is found that the groups concerned with inequality index are different, and Gini coefficient is more sensitive to middle and higher income group than B index and C index to low income group. V index is more sensitive to high income group, while Z index pays attention to high income group as well as low income group. The difference is mainly analyzed from two aspects: the thoroughness of exponential decomposition and the difference of decomposition methods. From the perspective of the thoroughness of each exponential decomposition, only Z exponent has additive and decomposable property, which can be decomposed thoroughly. The other indicators are not clean, there is an unexplained remainder, policy guidance is not clear. In addition. Only Z index has the uniqueness of the joint decomposition of subelements and subgroups. From the different methods of exponential decomposition, it can be concluded that using only the income share of each group for weighted decomposition will greatly reduce the contribution of inequality among groups. If the population share of each group is weighted and decomposed, the contribution of inequality among groups will be increased. And the results of weighted income share and population share may be completely opposite. Finally, according to the analysis of the differences of each index, some enlightenments on the selection and method of inequality index are obtained. The deficiency of this paper is analyzed.
【學(xué)位授予單位】:山西財(cái)經(jīng)大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:F113.8

【參考文獻(xiàn)】

相關(guān)碩士學(xué)位論文 前2條

1 郝淑玲;中國(guó)居民資產(chǎn)不平等研究[D];山西財(cái)經(jīng)大學(xué);2016年

2 趙蓉;收入不平等的分解度量及實(shí)證分析[D];天津財(cái)經(jīng)大學(xué);2012年

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