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A Condition for Convergence of Convolutions

Theory of Probability & Its Applications, 1993
See the review in Zbl 0756.60024.
Rotar', V. I., Sholomitskij, A. G.
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On the convergence condition and convergence time of BGP

Computer Communications, 2011
The Internet composes of thousands of Autonomous System (ASes). The Border Gateway Protocol (BGP) is the standard protocol for sharing inter-domain routing information. Unlike OSPF and IS-IS, BGP allows an AS to use a lot of attributes to express semantic rich routing policies that are consistent with its desired economic, business, performance, and ...
Huaming Guo   +3 more
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On convergence conditions for rendezvous

2007 46th IEEE Conference on Decision and Control, 2007
In this paper we analyze known conditions on control policies, which guarantee convergence in the multi-agent rendezvous problem. We discuss two examples which suggest a way to relax the continuity condition and to extend the class of control policies that may solve the problem.
Giuseppe Conte, Paris Pennesi
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Convergence of Conditional Expectation Operators

Theory of Probability & Its Applications, 1964
Two concepts of convergence for nets of $\sigma $-rings are defined for every Orlicz space $\mathfrak{L}_M^ * $, which imply essential, respectively, stochastic convergence of the corresponding conditional expectations of any random variable in $\mathfrak{L}_M^ * $.
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Conditional Converge Cast

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2008
In this paper, we introduce a new notion of conditional converge cast (CCC), by adding the conditional property to converge cast. A CCC protocol with predicate Q is a three-party protocol which involves two senders S0 and S1 and a receiver R. S0 owns a secret x and a message m0, so does S1 with y and m1.
Daisuke Inoue, Keisuke Tanaka
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Convergence Conditions for Ascent Methods

SIAM Review, 1969
Liberal conditions on the steps of a “descent” method for finding extrema of a function are given; most known results are special cases.
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On conditional weak convergence

Journal of Theoretical Probability, 1989
Technical issues of convergence of conditional distributions are discussed. The classical modes of convergence for conditional distributions are a) uniform convergence, b) convergence in probability, and c) almost sure convergence, each with respect to the conditioning variable.
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A NECESSARY CONDITION FOR THE CONVERGENCE OF THE FOURIER TRANSFORM

KIBERNETYKA TA SYSTEMNYI ANALIZ
The authors show that the Fourier transform plays an important role in many applied problems of system analysis. Its properties are analyzed, which directly affect the efficiency of using the optimal decision theory in the problems. The necessary condition for the convergence of the Fourier transform is established, which provides a powerful tool for ...
Tovkach, R. V., Medvid, V. M.
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On the Necessity of the Conditional Lindeberg Condition for Normal Convergence of Martingales

Journal of Mathematical Sciences, 2002
It has been known that the conditional Lindeberg condition and the fact that the conditional variance of a martingale is equal to 1 imply the weak convergence of the martingale to the standard normal law. It was not known whether the conditional Lindeberg condition is necessary or not until \textit{A. G. Sholomitskij} [Theory Probab. Appl. 43, No.
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On the order conditions of fuzzy convergence classes

Fuzzy Sets and Systems, 2003
Studying convergence classes for completely distributive lattices (as in [\textit{G. Gierz}, \textit{K. H. Hofmann}, \textit{K. Keimel}, \textit{J. D. Lawson}, \textit{M. Mislove} and \textit{D. S. Scott}, A compendium of continuous lattices (Springer-Verlag, Berlin) (1980; Zbl 0452.06001)]) and, in particular, the relationship between the lim inf ...
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