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Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 06/2016, Volume 138, pp. 83 - 92
This mostly expository paper shows how weak convergence methods provide simple, elegant proofs of (i) the stabilization of an inverted pendulum under fast... 
Weak convergence | Stabilization | Adiabatic invariance
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 07/2015, Volume 63, Issue 13, pp. 3522 - 3536
Journal Article
Filomat, ISSN 0354-5180, 1/2016, Volume 30, Issue 10, pp. 2711 - 2720
In this paper, we introduce a new three-step iteration scheme and establish convergence results for approximation of fixed points of nonexpansive mappings in... 
Strong and weak convergence theorems | Nonexpansive mapping | Fixed point | strong and weak convergence theorems | MATHEMATICS | MATHEMATICS, APPLIED | nonexpansive mapping | WEAK-CONVERGENCE
Journal Article
Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability, ISSN 1350-7265, 2012, Volume 18, Issue 3, pp. 764 - 782
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 05/2016, Volume 45, Issue 10, pp. 2834 - 2841
In this paper we show an approximation in law to the subfractional Brownian motion with in the Skorohod topology. The construction of these approximations is... 
Weak convergence | Subfractional Brownian motion | Random walks | Fractional Brownian motion | Subfractional Brownian motion;Weak convergence | RESPECT | WEAK-CONVERGENCE | STATISTICS & PROBABILITY | Brownian movements | Random walk theory | Brownian motion | Construction | Approximation | Mathematical analysis | Random walk | Images | Topology | Statistics
Journal Article
Journal of Multivariate Analysis, ISSN 0047-259X, 09/2019, Volume 173, pp. 704 - 723
Journal Article
Computers & mathematics with applications (1987), ISSN 0898-1221, 2008, Volume 56, Issue 10, pp. 2572 - 2579
By using the concept of △ -convergence introduced by Lim [T.C. Lim, Remarks on some fixed point theorems, Proc. Amer. Math. Soc. 60 (1976) 179–182], we are... 
Weak convergence | [formula omitted]-convergence | Fixed points | Nonexpansive mappings | CAT spaces | convergence | Analogs | Theorems | Approximation | Mapping | Mathematical models | Banach space | Iterative methods | Convergence
Journal Article
Journal of multivariate analysis, ISSN 0047-259X, 2019, Volume 171, pp. 139 - 162
This paper is concerned with modeling the dependence structure of two (or more) time series in the presence of a (possibly multivariate) covariate which may... 
Weak convergence | Asymptotic representation | Nonparametric SCOMDY model | Empirical copula process | CHARN model | Nonparametric AR-ARCH model | Goodness-of-fit testing | CONDITIONAL COPULA | ERROR DISTRIBUTION | SEMIPARAMETRIC ESTIMATION | TESTS | STATISTICS & PROBABILITY | WEAK-CONVERGENCE
Journal Article
Annals of the Institute of Statistical Mathematics, ISSN 0020-3157, 8/2017, Volume 69, Issue 4, pp. 833 - 864
A test procedure based on continuous observation to detect a change in drift parameters of an ergodic diffusion process is proposed. The asymptotic behavior of... 
Statistics, general | Statistics | Weak convergences in $$L^2(0 , 1)$$ L 2 ( 0 , 1 ) | Change point problems | Diffusion processes | Weak convergences in L | 0 , 1 | Weak convergences in L-2(0,1) | STATISTICS & PROBABILITY | PARAMETERS | Economic models | Null hypothesis | Asymptotic properties | Change detection | Ergodic processes
Journal Article
Bernoulli, ISSN 1350-7265, 05/2017, Volume 23, Issue 2, pp. 1233 - 1278
Journal Article
Nonlinear analysis, ISSN 0362-546X, 2008, Volume 68, Issue 12, pp. 3689 - 3696
A CAT(0) space is a geodesic space for which each geodesic triangle is at least as ‘thin’ as its comparison triangle in the Euclidean plane. A notion of... 
Weak convergence | [formula omitted]-convergence | Fixed points | CAT spaces | Δ-convergence | MATHEMATICS | MATHEMATICS, APPLIED | Delta-convergence | fixed points | BANACH-SPACES | MAPPINGS | FIXED-POINT PROPERTY | weak convergence
Journal Article
Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1812, 2013, Volume 2013, Issue 1, pp. 1 - 10
Journal Article
Stochastic processes and their applications, ISSN 0304-4149, 2008, Volume 118, Issue 4, pp. 614 - 628
We give a new characterization for the convergence in distribution to a standard normal law of a sequence of multiple stochastic integrals of a fixed order... 
Weak convergence | Limit theorems | Multiple stochastic integrals | Malliavin calculus | Gaussian processes | multiple stochastic integrals | STATISTICS & PROBABILITY | limit theorems | weak convergence | Multiple stochastic integrals Limit theorems Gaussian processes Malliavin calculus Weak convergence
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 09/2017, Volume 263, Issue 5, pp. 3110 - 3146
In this paper, we establish the Freidlin–Wentzell's large deviations for 3D stochastic primitive equations with small noise perturbation. The weak convergence... 
Weak convergence method | Primitive equation | Large deviations | LARGE-SCALE OCEAN | MATHEMATICS | NOISE | GLOBAL WELL-POSEDNESS | ATMOSPHERE
Journal Article
Electronic Communications in Probability, ISSN 1083-589X, 2016, Volume 21
Journal Article
Carpathian Journal of Mathematics, ISSN 1584-2851, 2019, Volume 35, Issue 3, pp. 293 - 304
Using the technique of enrichment of contractive type mappings by Krasnoselskij averaging, presented here for the first time, we introduce and study the class... 
Krasoselskij iteration | MATHEMATICS, APPLIED | enriched nonexpansive mapping | ERGODIC-THEOREMS | EQUATIONS | ALGORITHMS | strong convergence | MATHEMATICS | NONLINEAR MAPPINGS | CONVERGENCE THEOREMS | fixed point | PRODUCT | WEAK-CONVERGENCE | CONSTRUCTION | weak convergence | OPERATORS
Journal Article
Journal of theoretical probability, ISSN 1572-9230, 2018, Volume 32, Issue 3, pp. 1145 - 1165
The consistency of a bootstrap or resampling scheme is classically validated by weak convergence of conditional laws. However, when working with stochastic... 
Confidence intervals | Weak convergence | 62G09 | Stochastic processes | 62E20 | Probability Theory and Stochastic Processes | Bootstrap | Mathematics | Conditional weak convergence | Statistics, general | Resampling | TESTS | STATISTICS & PROBABILITY | Convergence (Social sciences)
Journal Article
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