Results 241 to 250 of about 1,712,433 (287)
Some of the next articles are maybe not open access.
2021
Abstract This chapter reviews the theory of weak convergence in metric spaces. Topics include Skorokhod’s representation theorem, the metrization of spaces of measures, and the concept of tightness of probability measures. The key relation is shown between weak convergence and uniform tightness.
openaire +1 more source
Abstract This chapter reviews the theory of weak convergence in metric spaces. Topics include Skorokhod’s representation theorem, the metrization of spaces of measures, and the concept of tightness of probability measures. The key relation is shown between weak convergence and uniform tightness.
openaire +1 more source
On Weak Convergence of Hypermeasures
Mathematische Nachrichten, 1984AbstractMeasures on the hyperspace of the closed sets with the FLACHSMEYER‐FELL topology are completely defined by their capacities. A necessary and sufficient condition is given for the weak convergence of a sequence of positive bounded σ‐additive measures on the hyperspace in terms of their capacities.
openaire +1 more source
Approximation of Weak Convergence
Mathematische Nachrichten, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
A new metric for weak convergence
, 1987 The author introduces a new metric in the space of positive measures on a separable metric space, the convergence in which is equivalent to weak convergence. Let S be a totally bounded metric space, let M be the space of signed measures on the Borel \(\sigma\)-algebra of S, \(M^+\) be the subset of positive measures and let U be the normed space of ...
SEMPI, Carlo
openaire +4 more sources
Weak convergence in the dual of weak Lp
Israel Journal of Mathematics, 2010A Banach space is said to have the \textit{Grothendieck property} if every weak-star convergent sequence in its dual is actually weakly convergent. It is well-known that \(\ell_\infty\) is a Grothendieck space. More generally, \({\mathcal C} (K)\) is a Grothendieck space when \(K\) is a compact Stonian space [\textit{A.\,Grothendieck}, ``Sur les ...
openaire +1 more source
1998
Abstract We denote the weak partial derivatives of u and the weak gradient of u by respectively. We adopt the usual notation The following properties hold for weak converging sequences.
Andrea Braides, Anneliese Defranceschi
openaire +1 more source
Abstract We denote the weak partial derivatives of u and the weak gradient of u by respectively. We adopt the usual notation The following properties hold for weak converging sequences.
Andrea Braides, Anneliese Defranceschi
openaire +1 more source
Weak Convergence Is Not Strong Convergence For Amenable Groups
Canadian Mathematical Bulletin, 2001AbstractLet G be an infinite discrete amenable group or a non-discrete amenable group. It is shown how to construct a net (fα) of positive, normalized functions in L1(G) such that the net converges weak* to invariance but does not converge strongly to invariance.
Rosenblatt, Joseph M., Willis, George A.
openaire +1 more source
On Weak Convergence of Gaussian Measures
Theory of Probability & Its Applications, 1988See the review in Zbl 0641.60004.
openaire +3 more sources
Strong Convergence and Weak Convergence
1965In this chapter, we shall be concerned with certain basic facts pertaining to strong-, weak- and weak* convergences, including the comparison of the strong notion with the weak notion, e.g., strong- and weak measurability, and strong- and weak analyticity.
openaire +1 more source
Weak Convergence and Empirical Processes
Springer Series in Statistics, 2023Jon Wellner, A W van der Vaart
exaly