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Almost second order parameter-uniform convergent alternate overlapping Schwarz method for singularly perturbed convection-diffusion problems

Ricerche di Matematica, 2022
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S. Chandra Sekhara Rao   +1 more
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On Almost Uniform Convergence of Families of Functions

Canadian Mathematical Bulletin, 1964
In [5] Tolstov showed by a counterexample that Egoroff' s theorem on almost uniform convergence cannot be extended to families of functions (ft(x)}, with t a continuous real parameter. However, Frumkin [2] proved that this is possible provided that some sets of measure zero (depending on t) are disregarded when each particular ft(x) is considered. This
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Convergence: Weak, Almost Uniform, and in Probability

1996
Consider the relationships between the convergence concepts introduced in the previous section and weak convergence. First we shall be a bit formal and note that convergence in probability to a constant can be defined for maps with different domains (Ω α , A α , P α ) too, so that it is not covered by Definition 1.9.1 in the preceding section.
Aad W. Vaart, Jon A. Wellner
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Uniform almost sure convergence and asymptotic distribution of the wavelet-based estimators of partial derivatives of multivariate density function under weak dependence

Journal of Nonparametric Statistics, 2021
This paper is devoted to the estimation of partial derivatives of multivariate density functions.
Soumaya Allaoui   +3 more
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Almost sure uniform convergence rates for M-smoothers with non-monotone score functions

Statistics & Probability Letters, 1993
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Bhattacharya, P. K., Zhao, Peng-Liang
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T –UNIFORM AMARTS AND ALMOST SURE CONVERGENCE IN BANACH SPACE

Acta Mathematica Scientia, 1985
Let E be a separable Banach space with norm \(\| \cdot \|\), and \(T^ f\) be the set of all finite stopping times. The author proves that if E has the Radon-Nikodym property and if \((X_ n,f_ n)_{n\geq 1}\) is a \(T^ f\)-uniform amart of class A (i.e. \(\liminf_{T^ f} E \| X_ t\|
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Jfon parametric time series analysis and prediction: uniform almost sure convergence of the window and jt-nn autoregression estimates

Statistics, 1985
Let be a strictly stationary process which is valued in a compact of Rp1 and q, s be two positive integers. The autoregression function is estimated from {Z1,…ZN} by the classical window and nearest neighbour regres¬sion estimates, For such an estimate Rn we obtain the uniform almost sure convergence property, leading to the almost sure convergence ...
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Almost uniform convergence on the predual of a von Neumann algebra and an ergodic theorem

1986
Publisher Summary This chapter discusses almost uniform convergence on the predual of von Neumann algebra and an ergodic theorem. Because L ∞ spaces over measure spaces are the prototypes of commutative von Neumann algebras, sometimes the investigations around a pair ( M , ω ) consisting of a von Neumann algebra M and a positive linear ...
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Uniform almost sure convergence rate of wavelet estimator for regression model with mixed noise

Communications in Statistics - Theory and Methods, 2023
Junke Kou, Qinmei Huang, Hao Zhang
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