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Ricerche di Matematica, 2022
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S. Chandra Sekhara Rao +1 more
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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, 1964In [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
1996Consider 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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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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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, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhattacharya, P. K., Zhao, Peng-Liang
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T –UNIFORM AMARTS AND ALMOST SURE CONVERGENCE IN BANACH SPACE
Acta Mathematica Scientia, 1985Let 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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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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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
1986Publisher 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, 2023Junke Kou, Qinmei Huang, Hao Zhang
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A Characterization of Almost Uniform Convergence
The American Mathematical Monthly, 1967openaire +1 more source

