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Rate of Convergence for Ibragimov-Gadjiev-Durrmeyer Operators
The present paper deals with the rate of convergence of the general class of Durrmeyer operators, which are generalization of Ibragimov-Gadjiev operators. The special cases of the operators include somewell known operators as particular cases viz.
Acar Tuncer
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Series of Convergence Rate −1/4 Containing Harmonic Numbers
Two general transformations for hypergeometric series are examined by means of the coefficient extraction method. Several interesting closed formulae are shown for infinite series containing harmonic numbers and binomial/multinomial coefficients.
Chunli Li, Wenchang Chu
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Geometrizing Rates of Convergence, III
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Donoho, David L., Liu, Richard C.
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On the rate of convergence of degenerate U-statistics
Let X, X1, X2, ... be independent identically distributed random variables taking values in a measurable space (Ω, ℜ). Let h(x, y) be real valued measurable symmetric function of the arguments x, y ∈ ℜ. Assume that Eh(x, X)= 0, for all x.
Olga Januškevičienė
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On The Complete Convergence Of Randomly Weighted Sums Of Random Fields
Let {Xn̲, n̲ ∊ V ⊆ℕd } be a d-dimensional random field indexed by some subset V of lattice ℕd, which are stochastically dominated by a random variable X.
Gdula Agnieszka M., Krajka Andrzej
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Convergence in Total Variation of Random Sums
Let (Xn) be a sequence of real random variables, (Tn) a sequence of random indices, and (τn) a sequence of constants such that τn→∞. The asymptotic behavior of Ln=(1/τn)∑i=1TnXi, as n→∞, is investigated when (Xn) is exchangeable and independent of (Tn ...
Luca Pratelli, Pietro Rigo
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Convergence Rates for Projective Splitting [PDF]
This version adds references to the extragradient ...
Patrick R. Johnstone, Jonathan Eckstein
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Rate of convergence of uniform transport processes to a Brownian sheet
We give the rate of convergence to a Brownian sheet from a family of processes constructed starting from a set of independent standard Poisson processes.
Rovira Carles
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In the present paper, we introduce a new kind of convergence, called the statistical relative uniform convergence, for a double sequence of functions at a point, where the relative uniform convergence of the set of the neighborhoods of the given point is
Sevda Yıldız
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Convergence Rates for Markov Chains [PDF]
Summary: This is an expository paper that presents various ideas related to nonasymptotic rates of convergence for Markov chains. Such rates are of great importance for stochastic algorithms that are widely used in statistics and in computer science. They also have applications to analysis of card shuffling and other areas.
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