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A simple characterization of almost uniform convergence by stochastic convergence

Manuscripta Mathematica, 1990
Motivated by Egorov's theorem and the characterization of the equivalence of P-stochastic convergence and P-almost convergence by the property of the probability distribution P to be purely atomic and concentrated on a countable number of pairwise disjoint P-atoms (cf. [1], p. 68), it is proved that P-stochastic resp. P-almost convergence is equivalent
D. Plachky
semanticscholar   +2 more sources

Failure of almost uniform convergence for noncommutative martingales

Probability Theory and Related Fields
7 pages, final version incorporating referees' comments, to appear in Probability Theory and Related ...
Guixiang Hong, Éric Ricard
semanticscholar   +4 more sources

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A Characterization of Almost Uniform Convergence

The American Mathematical Monthly, 1967
N. Luther
semanticscholar   +2 more sources

Almost uniform convergence in von neumann algebras

, 1985
R. Jajte
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A NOTE ON ALMOST UNIFORM CONVERGENCE IN VON NEUMANN ALGEBRAS

, 1991
J. Sauvageot
semanticscholar   +2 more sources

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

Ricerche di Matematica, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Rao, V. Srivastava
semanticscholar   +3 more sources

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.
A. Vaart, J. Wellner
semanticscholar   +2 more sources

Almost sure uniform convergence of continuous stochastic processes with values in the dual of a nuclear space

, 1983
I. Mitoma
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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 ...
G. Collomb
semanticscholar   +2 more sources

Almost sure uniform convergence rates for M-smoothers with non-monotone score functions

Statistics & Probability Letters, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhattacharya, P. K., Zhao, Peng-Liang
openaire   +2 more sources