Results 71 to 80 of about 15,169 (314)

Subuniformity of harmonic mean p$$ p $$‐values

Canadian Journal of Statistics, EarlyView.
Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen, Ruodu Wang, Yuming Wang, Wenhao Zhu   +3 more
wiley   +1 more source

Asymptotic properties of cross‐classified sampling designs

Canadian Journal of Statistics, EarlyView.
Abstract We investigate the family of cross‐classified sampling designs across an arbitrary number of dimensions. We introduce a variance decomposition that enables the derivation of general asymptotic properties for these designs and the development of straightforward and asymptotically unbiased variance estimators.
Jean Rubin, Guillaume Chauvet
wiley   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, EarlyView.
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

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Conditions for the solvability of the Cauchy problem for linear first-order functional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2013
Conditions for the unique solvability of the Cauchy problem for a family of scalar functional differential equations are obtained. These conditions are sufficient for the solvability of the Cauchy problem for every equation from the family and are ...
Eugene Bravyi
doaj   +1 more source

Study on fracture parameter calibration and failure characteristics of rock with hole and crack

Deep Underground Science and Engineering, EarlyView.
The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley   +1 more source

A METHOD TO DETERMINE COEFFICIENTS IN CAUCHY-EULER DIFFERENTIAL EQUATIONS OF ORDER N

Visión Electrónica, 2014
This article presents a method that provides a simple way to find the constant coefficients required in the solution of a differential equation with Cauchy-Euler structure.
Fabio Hernando Castellanos Moreno, Jaime Francisco Pantoja Benavides   +1 more
doaj  

Green’s Function for the Cauchy Problem to the Dissipative Linear Evolution Equation of Arbitrary Order

Mathematics
This work addresses the Cauchy problem for a linear equation with a first-order time derivative t and an arbitrary-order spatial derivative x. This equation is a generalization of the linear heat equation of the second order in the case of arbitrary ...
Daniil R. Nifontov, Nikolay A. Kudryashov   +1 more
doaj   +1 more source

Properties of integrals which have the type of derivatives of volume potentials for one ultraparabolic arbitrary order equation

Karpatsʹkì Matematičnì Publìkacìï, 2019
In weighted Hölder spaces it is studied the smoothness of integrals, which have the structure and properties of derivatives of volume potentials which generated by fundamental solutions of the Cauchy problem for one ultraparabolic arbitrary order ...
V.S. Dron', S.D. Ivasyshen, I.P. Medyns'kyi   +2 more
doaj   +1 more source

Cauchy problem for the Kuznetsov equation

Discrete & Continuous Dynamical Systems - A, 2019
We consider the Cauchy problem for a model of non-linear acoustics, named the Kuznetsov equation, describing sound propagation in thermo-viscous elastic media. For the viscous case, it is a weakly quasi-linear strongly damped wave equation, for which we prove the global existence in time of regular solutions for sufficiently small initial data, the ...
Dekkers, Adrien, Rozanova-Pierrat, Anna
openaire   +4 more sources