Karamata regular variation theory

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Regression with Slowly Varying Regressors [PDF]

Slowly varying regressors are asymptotically collinear in linear regression. Usual regression formulae for asymptotic standard errors remain valid but rates of convergence are affected and the limit distribution of the regression coefficients is shown to
Peter C.B. Phillips
core

Exact asymptotic behavior of the positive solutions for some singular Dirichlet problems on the half line

Electronic Journal of Differential Equations, 2016
In this article, we give an exact behavior at infinity of the unique solution to the following singular boundary value problem $$\displaylines{ -\frac{1}{A}(Au')'=q(t)g(u), \quad t \in (0,\infty), \cr u>0, \quad \lim_{t\to 0}A(t)u'(t)=0, \quad \lim_ ...
Habib Maagli, Ramzi Alsaedi, Noureddine Zeddini +2 more
doaj

Existence and asymptotic behavior of a unique solution to a singular Dirichlet boundary-value problem with a convection term

Electronic Journal of Differential Equations, 2015
In this article, we consider the problem $$ -\Delta u =b(x)g(u)+ \lambda a(x)|\nabla u|^{q}+\sigma(x),\; u > 0,\; x\in \Omega,\quad u|_{\partial \Omega }= 0 $$ with $\lambda\in\mathbb{R}$, $q\in [0, 2]$ in a smooth bounded domain $\Omega$ of ...
Haitao Wan
doaj

Mildly explosive autoregression under weak and strong dependence [PDF]

A limit theory is developed for mildly explosive autoregression under both weakly and strongly dependent innovation errors. We find that the asymptotic behaviour of the sample moments is affected by the memory of the innovation process both in the in the
Tassos Magdalinos
core

Asymptotic behaviour of the solution for the singular Lane-Emden-Fowler equation with nonlinear convection terms

Electronic Journal of Differential Equations, 2006
We show the exact asymptotic behaviour near the boundary for the classical solution to the Dirichler problem $$ -Delta =k(x)g(u)+lambda |abla u|^q, quad u>0,; xin Omega,quad uig|_{partial{Omega}}=0, $$ where $Omega$ is a bounded domain with smooth ...
Zhijun Zhang
doaj

TAUBERIAN THEOREMS FOR MATRIX REGULAR VARIATION. [PDF]