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Communications in Statistics - Theory and Methods, 2014
In the present article, we generalize the first part of the Borel-Cantelli lemma. By this generalization, we obtain strong limit results.
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In the present article, we generalize the first part of the Borel-Cantelli lemma. By this generalization, we obtain strong limit results.
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A Strong Form of Stable Convergence
2007We introduce and study a strengthening of the notion of stable convergence.
Crimaldi, Irene +2 more
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Strong convergence of the iterates of an operator [PDF]
Israel Journal of Mathematics, 1973 LetR=ξ ϕ (t)Ptdt wherePt is a semi group of operators. Conditions are established for the strong convergence ofRn.
S. R. Foguel, S. R. Foguel
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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.
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On the strong convergence of weighted sums [PDF]
Stochastic Analysis and Applications, 2001 Let {Xn; n $ 1} be a sequence of independent and identically distributed random variables and {ani; 1 # i # n; n $ 1} an array of constants. Some strong convergence results for the weighted sums P n¼1 aniXi are obtained.
Andrei Volodin +3 more
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Strong Boundedness and Strong Convergence in Sequence Spaces
Canadian Journal of Mathematics, 1991AbstractStrong convergence has been investigated in summability theory and Fourier analysis. This paper extends strong convergence to a topological property of sequence spaces E. The more general property of strong boundedness is also defined and examined.
Martin Buntinas, Naza Tanović-Miller
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Mathematical Proceedings of the Cambridge Philosophical Society, 1979
The concept of strong almost convergence was introduced in (2), where the matrices summing every strongly almost convergent sequence, leaving the limit invariant, were characterized.
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The concept of strong almost convergence was introduced in (2), where the matrices summing every strongly almost convergent sequence, leaving the limit invariant, were characterized.
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Strong Convergence of Stochastic Epidemics
Advances in Applied Probability, 1994This paper is concerned with a model for the spread of an epidemic in a closed, homogeneously mixing population in which new infections occur at ratef(x,y) and removals occur at rateg(x,y), wherexand y are the numbers of susceptible and infective individuals, respectively, andfandgare arbitrary but specified positive real-valued functions. Sequences of
Philip D. O'Neill, Frank Ball
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Convergence of strong turbulence theory
The Physics of Fluids, 1973The orbital diffusion view of plasma turbulence differs from the usual treatment of particle motion, in that the “free” particle propagator is changed to a renormalized propagator. This new propagator contains information about the perturbing effects of the self-consistent field.
Gregory Benford, J. J. Thomson
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Strong convergence of Kleinian groups
GAFA Geometric And Functional Analysis, 2005In this paper, we consider algebraically convergent sequences of quasi-conformal deformations of a convex cocompact Kleinian group. We characterize those sequences which converge strongly in terms of their Ahlfors–Bers parameterizations.
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