Results 61 to 70 of about 33,078 (239)
Evaluating Allocations of Opportunities
ABSTRACT This paper provides a robust criterion for comparing lists of probability distributions—interpreted as allocations of opportunities—faced by different social groups. We axiomatically argue in favor of comparing those lists of probability distributions on the basis of a uniform—among groups—valuation of their expected utility.
Francesco Andreoli +3 more
wiley +1 more source
Tensor Changepoint Detection and Eigenbootstrap
ABSTRACT Tensor data consisting of multivariate outcomes over the items and across the subjects with longitudinal and cross‐sectional dependence are considered. A completely distribution‐free and tweaking‐parameter‐free detection procedure for changepoints at different locations is designed, which does not require training data.
Michal Pešta +2 more
wiley +1 more source
On $p$-Brunn-Minkowski inequalities for intrinsic volumes with $0\leq p<1$ [PDF]
Chiara Bianchini +3 more
openalex +1 more source
Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities
ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
wiley +1 more source
Lp-Curvature Measures and Lp,q-Mixed Volumes
Motivated by Lutwak et al.’s Lp-dual curvature measures, we introduce the concept of Lp-curvature measures. This new Lp-curvature measure is an extension of the classical surface area measure, Lp-surface area measure, and curvature measure. In this paper,
Tongyi Ma
doaj +1 more source
On the Fourier transform of measures in Besov spaces
Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
wiley +1 more source
Sharp quantitative stability of the Brunn-Minkowski inequality [PDF]
Alessio Figalli +2 more
openalex +1 more source
Equality in Borell-Brascamp-Lieb inequalities on curved spaces
By using optimal mass transportation and a quantitative H\"older inequality, we provide estimates for the Borell-Brascamp-Lieb deficit on complete Riemannian manifolds.
Balogh, Zoltán M., Kristály, Alexandru
core +1 more source
Plank theorems and their applications: A survey
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
THE INEQUALITIES OF HELDER AND MINKOVSKY AND THEIR GENERALIZATIONS
Formulation of the Problem. A large amount of mathematical literature is devoted to classical inequalities. Helder's inequalities, a special case of which is the Cauchy-Buniakovsky inequality, as well as Minkowski's, which is a polygon inequality in a ...
Yuriy Bokhonov
doaj +1 more source

