Web1 feb. 2024 · Concretely, we show that h ( PX) can be described in terms of the Lorenz curve of the array X and obtain a relation between the sum of the components of PX and the Gini index of X. Moreover, we obtain sharp lower and upper bounds for h -type indices of PX. partial sums of an array, h -index, g -index, R -index, Gini index, Lorenz curve. Web17 nov. 2015 · The objective of this study is to develop a majorization-based tool to compare financial networks with a focus on the implications of liability concentration. Specifically, we quantify liability concentration by applying the majorization order to the liability matrix that captures the interconnectedness of banks in a financial network.
Extreme Points and Majorization: Economic Applications
WebA theory of majorization and Schur convexity with respect to partial orders over subsets of Euclidean spaces is developed, which is used in Hwang, Rothblum and Shepp 1993 to … Webmajorization order (or its converse) will have an optimum on an element that is the least variable (most variable) in a given set. Thus, under conditions that are often present in applications and that can be easily checked, the optimum is either achieved at the a-priori xed function f or at a step function gwith at most two steps. astone kss
Majorization Formulation of Uncertaintyin Quantum Mechanics
Web18 feb. 2024 · ABSTRACT. This paper studies the ordering properties of extreme order statistics arising from independent negative binomial random variables. Employing the useful tool of majorization-type orders, sufficient conditions are given for comparing extreme negative binomial order statistics according to the usual stochastic order. Webtheme: Majorization, here, there and everywhere. Nevertheless it is my hope that the examples se-lected will be found to be interesting, to be suffi-ciently diverse in order to illustrate the potential ubiquity of dispersion ordering (a.k.a. majorization) concepts and, perhaps, to inspire researchers to seek Web17 nov. 2015 · The objective of this study is to develop a majorization-based tool to compare financial networks with a focus on the implications of liability concentration. … astone ka21評價