Results 41 to 50 of about 886 (94)

Characterization of valid auxiliary functions for representations of extreme value distributions and their max‐domains of attraction

open access: yesScandinavian Journal of Statistics, Volume 51, Issue 2, Page 832-860, June 2024.
Abstract In this paper we study two important representations for extreme value distributions and their max‐domains of attraction (MDA), namely von Mises representation (vMR) and variation representation (VR), which are convenient ways to gain limit results. Both VR and vMR are defined via so‐called auxiliary functions ψ. Up to now, however, the set of
Miriam Isabel Seifert
wiley   +1 more source

PSEM Approximations for Both Branches of Lambert W Function with Applications

open access: yesDiscrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019
Transcendental functions are a fundamental building block of science and engineering. Among them, a relatively new function denominated as Lambert W is highlighted. The importance of such function relies on the fact that it can perform novel isolation of variables.
H. Vazquez-Leal   +5 more
wiley   +1 more source

A precise asymptotic description of half‐linear differential equations

open access: yesMathematische Nachrichten, Volume 297, Issue 4, Page 1275-1309, April 2024.
Abstract We study asymptotic behavior of solutions of nonoscillatory second‐order half‐linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed.
Pavel Řehák
wiley   +1 more source

Colony formation in the cyanobacterium Microcystis

open access: yesBiological Reviews, Volume 93, Issue 3, Page 1399-1420, August 2018., 2018
ABSTRACT Morphological evolution from a unicellular to multicellular state provides greater opportunities for organisms to attain larger and more complex living forms. As the most common freshwater cyanobacterial genus, Microcystis is a unicellular microorganism, with high phenotypic plasticity, which forms colonies and blooms in lakes and reservoirs ...
Man Xiao, Ming Li, Colin S. Reynolds
wiley   +1 more source

Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in exterior domains

open access: yesElectronic Journal of Differential Equations, 2018
In this article, we study the existence, uniqueness and the asymptotic behavior of a positive classical solution to the semilinear boundary value problem $$\displaylines{ -\Delta u=a(x)u^{\sigma }\quad \text{in }D, \cr u|_{\partial D}=0,\quad ...
Habib Maagli   +2 more
doaj  

Existence and global asymptotic behavior of positive solutions for combined second-order differential equations on the half-line

open access: yesAdvances in Nonlinear Analysis, 2016
We are concerned with the existence, uniqueness and global asymptotic behavior of positive continuous solutions to the second-order boundary value ...
Bachar Imed, Mâagli Habib
doaj   +1 more source

Elliptic operators on refined Sobolev scales on vector bundles

open access: yes, 2017
We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product H\"ormander spaces parametrized with a real number and a function varying slowly at infinity in the sense of Karamata ...
Zinchenko, Tetiana
core   +2 more sources

Asymptotic behavior of positive solutions of a semilinear Dirichlet problem outside the unit ball

open access: yesElectronic Journal of Differential Equations, 2013
In this article, we are concerned with the existence, uniqueness and asymptotic behavior of a positive classical solution to the semilinear boundary-value problem $$displaylines{ -Delta u=a(x)u^{sigma }quadext{in }D, cr lim _{|x|o 1}u(x)= lim_{|x|o ...
Habib Maagli   +2 more
doaj  

On bootstrap sample size in extreme value theory [PDF]

open access: yes, 2002
It has been known for a long time that for bootstrapping the probability distribution of the maximum of a sample consistently, the bootstrap sample size needs to be of smaller order than the original sample size. See Jun Shao and Dongsheng Tu (1995), Ex.
Geluk, J.L. (Jaap)   +1 more
core  

The Refined Sobolev Scale, Interpolation, and Elliptic Problems

open access: yes, 2012
The paper gives a detailed survey of recent results on elliptic problems in Hilbert spaces of generalized smoothness. The latter are the isotropic H\"ormander spaces $H^{s,\varphi}:=B_{2,\mu}$, with $\mu(\xi)=^{s}\varphi()$ for $\xi\in\mathbb{R}^{n ...
Mikhailets, Vladimir A.   +1 more
core   +1 more source

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