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A non-uniform Berry–Esseen bound via Stein's method
This paper is part of our efforts to develop Stein's method beyond uniform bounds in normal approximation. Our main result is a proof for a...
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Embeddings of Rearrangement Invariant Spaces that are not Strictly Singular
We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L 1 ([0,1]) is strictly singular...
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On Exact Maximal Khinchine Inequalities
Let ε 1 …, ε n be independent Rademacher random variables, and let a...
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Order of magnitude bounds for expectations of Δ2-functions of generalized random bilinear forms
Let Φ be a symmetric function, nondecreasing on [0,∞) and satisfying a Δ 2 growth condition, ( X 1 , Y 1 ), ( X 2 , Y 2 ),…,( X n , Y n ) be arbitrary...
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Complete Convergence
The concept complete convergence was introduced in 1947 by Hsu and Robbins, who proved that the sequence of arithmetic means of i.i.d. random...
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R
Regular Ring - A regular ring (in the sense of von Neumann) admitting an involutory anti-automorphism α→α* such that αα =0...
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C
X 2-DISTRIBUTION - See ‘Chi-squared’ distribution.
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Blackwell's renewal theorem for certain linear submartingales and coupling
The present work surveys some extensions of Blackwell's renewal theorem for a certain class of linear submartingales S ℕ which have been recently...
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Complete convergence for arrays
Let {( X nk , 1≤ k ≤ n ), n ≥1}, be an array of rowwise independent random variables. We extend and generalize some recent results due to Hu, Móricz and...
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R
*-Regular Ring - A regular ring (in the sense of von Neumann) admitting an involutory antiautomorphism α→α such that αα * = 0 implies α = 0. An...
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