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Estimation of Lorenz curves based on dummy variable regression

Zheng-Xin Wang, Hai-Lun Zhang and Hong-Hao Zheng

Economics Letters, 2019, vol. 177, issue C, 69-75

Abstract: We propose a new estimation method of the Lorenz curve based on dummy variable regression for granting clear economic connotations to parameters in the estimation of the Lorenz curve. The dummy variable regression model of the Lorenz curve is established by introducing dummy variables to group data about income level. On this basis, it is proved that the regression function is endowed with the convexity that the Lorenz curve should have. To verify the effectiveness of the new method, empirical study is carried out taking the income data of urban and rural residents in the Chinese Household Income Project Survey (CHIP) database as examples. In the empirical study, the proposed model is compared with several existing classical parameter models. The results indicate that the slope parameter of the model represents the cumulative income–population resilience of corresponding residents, and reflects the income structure of residents to some extent. Meanwhile, compared with classical parameter models, the newly proposed method has advantages of higher fitting precision and stronger adaptability.

Keywords: Income distribution; Lorenz curve; Dummy variable regression (search for similar items in EconPapers)
JEL-codes: C80 D31 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:177:y:2019:i:c:p:69-75

DOI: 10.1016/j.econlet.2019.01.021

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