Ranking intersecting Lorenz curves

Ranking intersecting Lorenz curves

Ranking Intersecting Lorenz Curves This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To deal with such situations two alternative sequences of nested dominance criteria between Lorenz curves are introduced. At ...

Ranking Income Distributions with Crossing Generalised Lorenz Curves

Tsallis Maximum Entropy Lorenz Curves

In this paper, at first we derive a family of maximum Tsallis entropy distributions under optional side conditions on the mean income and the Gini index. Furthermore, corresponding with these distributions a family of Lorenz curves compatible with the optional side conditions is generated. Meanwhile, we show that our results reduce to Shannon entropy as $beta$ tends to one. Finally, by using ac...

Intersecting curves

Consider the graphs of n distinct polynomials of a real variable intersecting at some point. In the neighborhood of this point, the qualitative picture is described by some permutation of {1, . . . , n}. We describe the permutations that occur in such a situation. In this note, we shall examine the relative positions of the graphs of several functions in the neighborhood of a point where they i...

Intersecting Curves: 10712

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