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Asymptotic Results in Broken Stick Models: The Approach via Lorenz Curves
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?
Gheorghiță Zbăganu
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Quantum relative Lorenz curves [PDF]
The theory of majorization and its variants, including thermomajorization, have been found to play a central role in the formulation of many physical resource theories, ranging from entanglement theory to quantum thermodynamics. Here we formulate the framework of quantum relative Lorenz curves, and show how it is able to unify majorization ...
Francesco Buscemi, Gilad Gour
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Lorenz Curve-Based Entropy Thresholding on Circular Histogram
Circular histogram thresholding is a new threshold selection method in color image segmentation. However, the method of the existing circular histogram thresholding based on the Otsu Criteria lacks the generality of using the circular histogram. In order
Chao Kang, Chengmao Wu, Jiulun Fan
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Group averaging and the Gini deviation
It is known that partitioning a society into groups with subsequent averaging in each group decreases the Gini coefficient. The resulting Lorenz function is piecewise linear.
Oleg I. Pavlov, Olga Yu. Pavlova
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Assessing spatial inequality in cancer service access in regional areas
This paper applies economic concepts from measuring income inequality to an exercise in assessing spatial inequality in cancer service access in regional areas. We propose a mathematical model for accessing chemotherapy among local government areas (LGAs)
Ka C. Chan+2 more
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Cascade of Invariant Curve Doubling Bifurcations and Quasi-Periodic Hénon Attractor in the Discrete Lorenz-84 Model [PDF]
Background and Objectives: Chaotic behavior is one of the fundamental properties of nonlinear dynamical systems, including maps. Chaos can be most easily and reliably diagnosed using the largest Lyapunov exponent, which will be positive for the chaotic ...
Popova, Elena Sergeevna+2 more
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The purpose of this paper is twofold. First, it exhibits that standard tools in themeasurement of income inequality, such as the Lorenz curve and the Gini-index,can successfully be applied to the issues of inequality measurement of carbonemissions and the equity of abatement policies across countries.
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Income inequality measures and the middle class [PDF]
We study how the presence of the middle class in the sense of Gevorgyan-Malykhin affects the value of income inequality measures including the Gini coefficient J and the Hoover index H.
Pavlov Oleg I., Pavlova Olga Yu.
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A new methodology to derive IFRS 9 PiT PDs is proposed. The methodology first derives a PiT term structure with accompanying segmented term structures. Secondly, the calibration of credit scores using the Lorenz curve approach is used to create account ...
Douw Gerbrand Breed+4 more
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The Total time on test transform in measuring income inequality [PDF]
Wealth distribution is one of the most important and effective factors in the economic and social stability of each society. Thus, assessing the behavior of income distribution have great importance and to do this, several indices have been introduced ...
Mojtaba Esfahani+2 more
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