The evolution of the ratio of direct taxation (characterized by progressive rates) over indirect and payroll taxation (characterized by flat rates) is examined together with its distributional consequences for the Bottom 50%, Middle 40% and Top 10% shares of income. Oscillations of this ratio...

This paper proposes a method for detecting income classes based on the change-point problem. There is an increasing demand for such a method in the literature. Computation of polarization indices requires a pre-grouping of the incomes. Similarly, indices of social exclusion and sometimes indices...