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Majorization order

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 https://torontoguesthouse.com

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

Majorization revisited: Comparison of norms in interpolation scales ...

Category:Majorization ordering - Encyclopedia of Mathematics

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Majorization order

h-Type indices, partial sums and the majorization order

Web19 jun. 2024 · In particular, we consider the set of probability distributions which are δ -close, in the -distance, to a given distribution p, and we identify the extremal elements of this set under majorization order. These extremal distributions are the and δ -approximations of p, and in lemma 1 we show that they majorize/are majorized by all the other ... Web30 nov. 2016 · This defines a partial order which occurs under various names in various parts of mathematics: majority ordering, majorization ordering, specialization ordering, …

Majorization order

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WebDaniel P. Palomar Web26 jul. 2024 · A functional that respects the majorization order (or its converse) will have an optimum on an element that is the least variable (most variable) in a given set. Thus, …

Web31 okt. 2024 · To measure the magnitude among random variables, we can apply a partial order connection defined on a distribution class, which contains the symmetry. In this paper, based on majorization order and symmetry or asymmetry functions, we carry out stochastic comparisons of lifetimes of [...] Read more. WebIn this paper we develop a majorization formulation of the uncertainty principle. Majorization provides a partial order on probability vectors which characterizes the …

Web24 mrt. 2024 · Majorization. Let and be nonincreasing sequences of real numbers. Then majorizes if, for each , 2, ..., , with equality if . Note that some caution is needed when … Web11 apr. 2024 · Abstract. The value at risk (VaR) and the conditional value at risk (CVaR) are two popular risk measures to hedge against the uncertainty of data. In this paper, we provide a computational toolbox for solving high-dimensional sparse linear regression problems under either VaR or CVaR measures, the former being nonconvex and the latter convex.

WebBook Title: Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics. Authors: Barry C. Arnold, José María Sarabia. Series Title: Statistics …

Web23 mrt. 2024 · matrices and characterizations for certain matrix majorization orders. W e extend these results for (0, 1) matrices in Section 3. We introduce a new concept of. column stochastic majorization. astonia australiensisWebTRANSPORT-MAJORIZATION TO ANALYTIC AND GEOMETRIC INEQUALITIES JAMES MELBOURNE AND CYRIL ROBERTO Abstract. We introduce a transport-majorization argument that establishes a majoriza-tion in the convex order between two densities, based on control of the gradient of a trans-portation map between them. astoniaastonia txWeberal majorization framework for assessing designs, which includes a stringent criterion of majorization via pairwise coincidences and flex-ible surrogates via convex functions. Classical orthogonality, aber-ration and uniformity criteria are unified by choosing combinatorial and exponential kernels. A construction method is also sketched out. 1. astonia iiiIn discrete mathematics, dominance order (synonyms: dominance ordering, majorization order, natural ordering) is a partial order on the set of partitions of a positive integer n that plays an important role in algebraic combinatorics and representation theory, especially in the context of symmetric functions and representation theory of the symmetric group. astonia minesWebMAJORIZATION AND SPHERICAL FUNCTIONS COLIN MCSWIGGEN AND JONATHAN NOVAK Abstract. In this paper, we generalize a result of Cuttler, Greene, Skandera, and Sra that characterizes the majorization order on Young diagrams in terms of nonnegative specializations of Schur polynomials. More precisely, we intro- astonin hWeb5 A. This theorem proves that g is an order-preserving mapping from (𝐑+)𝑁 with the majorization order to the positive real-numbers with their natural order. astonin