A note on the exponential inequality for a class of dependent random variables. (English) Zbl 1296.60047
MSC:
60E15
Found 34 Documents (Results 1–34)
Almost sure exponential stability of numerical solutions for stochastic delay differential equations with jumps. (English) Zbl 1291.65015
Towards Nikishin’s theorem on the almost sure convergence of rearrangements of functional series. (English. Russian original) Zbl 1271.60011
Funct. Anal. Appl. 45, No. 1, 33-45 (2011); translation from Funkts. Anal. Prilozh. 45, No. 1, 41-55 (2011).
MSC:
60B11
A note on the complete convergence for sequences of pairwise NQD random variables. (English) Zbl 1276.60031
MSC:
60F15
On the strong limit theorems for double arrays of blockwise \(M\)-dependent random variables. (English) Zbl 1271.60048
MSC:
60F15
Almost sure exponential stability of the Euler-Maruyama approximations for stochastic functional differential equations. (English) Zbl 1276.60063
Reviewer: Melvin D. Lax (Long Beach)
Almost sure asymptotic stability and convergence of stochastic theta methods applied to systems of linear SDEs in \(\mathbb R^d\). (English) Zbl 1268.65009
Generalization of almost sure convergence properties of pairwise NQD random sequences. (English) Zbl 1266.60057
MSC:
60F15
On the limit behavior of increments of sums of independent random variables from domains of attraction of asymmetric stable distributions. (English. Russian original) Zbl 1296.60077
Vestn. St. Petersbg. Univ., Math. 44, No. 2, 147-154 (2011); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2011, No. 2, 43-47 (2011).
Reviewer: Nikolai N. Leonenko (Cardiff)
Convergence of series of Gaussian Markov sequences. (English. Russian original) Zbl 1253.65003
Theory Probab. Math. Stat. 83, 149-162 (2011); translation from Teor. Jmovirn. Mat. Stat. 83, 125-137 (2010).
Reviewer: Aleksander Iksanov (Kiev)
On the Marcinkiewicz Zygmund laws of large numbers for negatively dependent random fields. (English) Zbl 1238.60037
Almost sure convergence of the discrete waveform relaxation method for linear stochastic differential equations. (English) Zbl 1240.65007
On the rates of the almost sure convergence for self-normalized law of the iterated logarithm. (English) Zbl 1237.60024
MSC:
60F15
Davenport series and almost-sure convergence. (English) Zbl 1254.40002
Reviewer: Bogdan Szal (Zielona Gora)
Almost sure and complete convergence of randomly weighted sums of independent random elements in Banach spaces. (English) Zbl 1246.60046
Reviewer: Ludwig Paditz (Dresden)
The strong law of large numbers for pairwise NQD random variables. (English) Zbl 1227.60039
MSC:
60F15
The small-time Chung-Wichura law for Lévy processes with non-vanishing Brownian component. (English) Zbl 1232.60035
Reviewer: Alexander Schnurr (Dortmund)
Strong convergence for multiple sums of nonorthogonal random variables. (English. Russian original) Zbl 1222.60030
Theory Probab. Appl. 55, No. 2, 351-355 (2011); translation from Teor. Veroyatn. Primen. 55, No. 2, 382-386 (2010).
Characterizations of the convergence of harmonic averages of double numerical sequences. (English) Zbl 1225.40003
Reviewer: Billy E. Rhoades (Bloomington)
Uniform rate of strong consistency for a smooth kernel estimator of the conditional mode for censored time series. (English) Zbl 1221.62063
Global almost sure self-synchronization of Hopfield neural networks with randomly switching connections. (English) Zbl 1225.93019
A note on almost sure uniform and complete convergences of a sequence of random variables. (English) Zbl 1222.60029
Reviewer: Christoph Aistleitner (Graz)
MSC:
60F15
Numerical solution of the Dirichlet problem for linear parabolic SPDEs based on averaging over characteristics. (English) Zbl 1222.65014
Crisan, Dan (ed.), Stochastic analysis 2010. Selected papers based on the presentations at the 7th congress of the International Society for Analysis, its Applications and Computations, London, GB, July 2009. Berlin: Springer (ISBN 978-3-642-15357-0/hbk; 978-3-642-15358-7/ebook). 191-212 (2011).
An application of Taylor series in the approximation of solutions to stochastic differential equations with time-dependent delay. (English) Zbl 1222.65013
Reviewer: Grigori N. Milstein (Yekaterinburg)
On the exponential inequalities for negatively dependent random variables. (English) Zbl 1218.60016
MSC:
60E15
On the set of limit points of normed sums of geometrically weighted I.I.D. unbounded random variables. II. (English) Zbl 1218.60025
MSC:
60F15
On the relationship between some of the Ordóñez Cabrera-Volodin and the Cantrell-Rosalsky strong laws of large numbers for Banach space valued summands. (English) Zbl 1227.60007
Strong limit theorems for weighted sums of negatively associated random variables. (English) Zbl 1208.60028
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