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Asymptotic Results in Broken Stick Models: The Approach via Lorenz Curves.
- Source :
-
Mathematics (2227-7390) . Apr2020, Vol. 8 Issue 4, p625-625. 1p. - Publication Year :
- 2020
-
Abstract
- A stick of length 1 is broken at random into n smaller sticks. How much inequality does this procedure produce? What happens if, instead of breaking a stick, we break a square? What happens asymptotically? Which is the most egalitarian distribution of the smaller sticks (or rectangles)? Usually, when studying inequality, one uses a Lorenz curve. The more egalitarian a distribution, the closer the Lorenz curve is to the first diagonal of [ 0 ,   1 ] 2 . This is why in the first section we study the space of Lorenz curves. What is the limit of a convergent sequence of Lorenz curves? We try to answer these questions, firstly, in the deterministic case and based on the results obtained there in the stochastic one. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LORENZ curve
*GINI coefficient
*RECTANGLES
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 8
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 143099242
- Full Text :
- https://doi.org/10.3390/math8040625