Results 51 to 60 of about 52,088 (229)
A survey on the Riemann-Lebesgue integrability in non-additive setting [PDF]
, 2023 Anca Croitoru +3 more
openalex +1 more source
Robust Bernoulli Mixture Models for Credit Portfolio Risk
Mathematical Finance, EarlyView.ABSTRACT This paper presents comparison results and establishes risk bounds for credit portfolios within classes of Bernoulli mixture models, assuming conditionally independent defaults that are stochastically increasing in a common risk factor. We provide simple and interpretable conditions on conditional default probabilities that imply a comparison ...
Jonathan Ansari, Eva Lütkebohmert
wiley +1 more source
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Hilbert space methods for partial differential equations
Electronic Journal of Differential Equations, 1994 This book is an outgrowth of a course which we have given almost periodically over the last eight years. It is addressed to beginning graduate students of mathematics, engineering, and the physical sciences.
Ralph E. Showalter
doaj
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2135-2160, 15 March 2026.ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
wiley +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
The Functional Delta Method for Deriving Asymptotic Distributions
WIREs Computational Statistics, Volume 18, Issue 1, March 2026.The distribution of the scaled difference between the plug‐in estimator Tθ̂n$$ T\left({\hat{\boldsymbol{\theta}}}_n\right) $$ and the true parameter Tθ0$$ T\left({\boldsymbol{\theta}}_0\right) $$ is approximated by the distribution of the scaled difference between θ̂n$$ {\hat{\boldsymbol{\theta}}}_n $$ and θ0$$ {\boldsymbol{\theta}}_0 $$ and a ...
Eric Beutner
wiley +1 more source
Noûs, Volume 60, Issue 1, Page 16-37, March 2026.Abstract Standard decision theory ranks risky prospects by their expected utility. This ranking does not change if the values of all possible outcomes are uniformly shifted or dilated. Similarly, if the values of the outcomes are negated, the ranking of prospects by their expected utility is reversed.
Zachary Goodsell
wiley +1 more source
On fractional deviation operators
Le Matematiche, 1997 The so called fractional deviation operators are introduced. This class of integral transforms appears naturally from the study of iteration of fractional integrals of Riemann-Liouville type. Since B.
Carlos C. Peña
doaj