References of "ESAIM: Probability and Statistics = Probabilité et statistique : P & S"
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See detailMultidimensional limit theorems for homogeneous sums : a general transfer principle
Nourdin, Ivan UL; Peccati, Giovanni UL; Poly, Guillaume et al

in ESAIM: Probability and Statistics = Probabilité et statistique : P & S (2016), 20

Detailed reference viewed: 69 (1 UL)
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See detailA natural derivative on [0, n] and a binomial Poincaré inequality
Hillion, Erwan UL; Johnson, Oliver; Yu, Yaming

in ESAIM: Probability and Statistics = Probabilité et statistique : P & S (2014), 18

We consider probability measures supported on a finite discrete interval [0, n]. We introduce a new finite difference operator ∇n, defined as a linear combination of left and right finite differences. We ... [more ▼]

We consider probability measures supported on a finite discrete interval [0, n]. We introduce a new finite difference operator ∇n, defined as a linear combination of left and right finite differences. We show that this operator ∇n plays a key role in a new Poincaré (spectral gap) inequality with respect to binomial weights, with the orthogonal Krawtchouk polynomials acting as eigenfunctions of the relevant operator. We briefly discuss the relationship of this operator to the problem of optimal transport of probability measures. [less ▲]

Detailed reference viewed: 89 (1 UL)