The most common data source on income distribution in China is grouped data. When income data is in grouped form, some acceptable Lorenz model is needed to approximate the underlying Lorenz curve. This paper presents a new family of Lorenz curves and applies the main model in our proposed family...

We propose a piecewise method to estimate the Lorenz curve for grouped income data. Our illustrative application shows that the method can produce more plausible density when the income distribution data has multiple peaks and the Lorenz curve cannot be modeled satisfactorily over the entire...