Results 291 to 300 of about 710,712 (326)

On Weak Convergence of Hypermeasures

Mathematische Nachrichten, 1984
AbstractMeasures 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.
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Strong Convergence and Weak Convergence

1965
In 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.
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A coupling proof of weak convergence

Journal of Applied Probability, 1985
Weak convergence to reflected Brownian motion is deduced for certain upwardly drifting random walks by coupling them to a simple reflected random walk. The argument is quite elementary, and also gives the right conditions on the drift. A similar argument works for a corresponding continuous-time problem.
Richard A. Lockhart, Reg Kulperger, Peter Guttorp   +2 more
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On Weak Convergence of Gaussian Measures

Theory of Probability & Its Applications, 1988
See the review in Zbl 0641.60004.
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A note on weak convergence

Sankhya A, 2012
We show that in a Polish space if {Pn} is a sequence of probability measures then the existence of \(\displaystyle \lim_n \int f dP_n\) for every bounded continuous function guarantees the existence of a probability P such that Pn converges weakly to P.
B. V. Rao, R. V. Ramamoorthi, Jayaram Sethuraman   +2 more
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Weak convergence in an appointment system

Journal of Applied Probability, 1975
It is assumed that customers at a service facility have appointments at times 0,1,2, … for which they may be unpunctual by random amounts or may never arrive at all. A weak convergence theorem is proved for the process which counts the number of arrivals.
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Weak Convergence: Introduction

1997
Up to now, we have concentrated on the convergence of {θ n } or of {θ n (·)} to an appropriate limit set with probability one. In this chapter, we work with a weaker type of convergence. In practical applications, this weaker type of convergence most often yields exactly the same information about the asymptotic behavior as the probability one methods.
Harold J. Kushner, George Yin
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Weak convergence in the dual of weak Lp

Israel Journal of Mathematics, 2010
We consider a Dedekind σ-complete Banach lattice E whose dual is weakly sequentially complete. Suppose that E has a positive element u and a family of positive operators $$ \mathcal{G} $$ such that
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Weak convergence of currents

Mathematische Zeitschrift, 2007
We give certain condictions to guarantee weak convergence $u_kT_k \rightarrow uT$, where $u_k$, $u$ are plurisubharmonic functions and $T_k$, $T$ are positive closed currents. As applications we obtain that convergence in capacity of plurisubharmonic functions $u_k$ implies weak convergence of the complex Monge-Amp\`ere measures $(dd^cu_k)^n$ if all of
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Weak Convergence of Measures

2012
In this chapter we consider the fundamental concept of weak convergence of probability measures. This will lay the groundwork for the precise formulation of the Central Limit Theorem and other Limit Theorems of probability theory (see Chap. 10).
Leonid Koralov, Yakov G. Sinai
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