A Stochastic Diffusion Model of Lorenz Curve with a Birth-and-Death Diffusion and General External Effect Processes


Abstract


The Lorenz curve has been used as an essential instrument in the studies of inequality of wealth and income distributions. It was further devised as an inequality research tool in many disciplines. A stochastic Lorenz Curve model is considered with a birth-and-death diffusion and general external effect processes in this paper. Also, the corresponding Stochastic Diffusion Gini-Index is obtained. The suggested functional form attains the properties of the Lorenz curve and works nicely, as shown in the numerical example.


DOI Code: 10.1285/i20705948v14n2p417

Keywords: Lorenz Curve, Birth-Death Diffusion Process, General External Effect, Gini-Index.

References


No

Name

Email

Field / Dept

Dr. Anwar AlShriaan

dr.alshriaan@ku.edu.kw

Econometrician

Dr. Mohammad Alawin

MOHAMMAD.ALAWIN@ku.edu.kw

Econometrician


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