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We develop a new method for bounding the relative entropy of a random vector in terms of its Stein factors.
An information-theoretic proof of the central limit theorem with Lindeberg conditions
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Distributional and L q L^{q} norm inequalities for polynomials over convex bodies in ℝ n \mathbb{R}^{n}
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Solution of Shannon’s problem on the monotonicity of entropy
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On the rate of convergence in the entropic central limit theorem
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Information theory and the central limit theorem
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Fisher information inequalities and the central limit theorem
O. Johnson and A. Barron · 2004
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Central limit theorems for sequences of multiple stochastic integrals
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The Malliavin calculus and related topics
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Multivariate normal approximation using exchangeable pairs
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Random fields on the sphere : Representation, limit theorems and cosmological applications
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Entropy jumps for random vectors with log-concave density and spectral gap
K. Ball and V. Nguyen · 2012
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Fisher information and the central limit theorem
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Fourth moment theorem and q-Brownian chaos
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Wigner chaos and the fourth moment
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Chaos of a Markov operator and the fourth moment condition
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Central limit theorems for multiple stochastic integrals and Malliavin calculus
D. Nualart and S. Ortiz-Latorre · 2008
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Fluctuations of eigenvalues and second order Poincaré inequalities
S. Chatterjee · 2009
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On Stein’s identity and its applications
S. Kumar Kattumannil · 2009
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I. Nourdin, G. Peccati and G. Reinert (2009). Second order Poincaré inequalities and CLTs on Wiener space. J. Funct. Anal
2009
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Multivariate normal approximation with Stein’s method of exchangeable pairs under a general linearity condition
G. Reinert and A. Roellin · 2009
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Stein’s lemma, Malliavin calculus, and tail bounds, with application to polymer fluctuation exponent
F. G. Viens · 2009
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M. Ledoux · 2012
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Selected Aspects of Fractional Brownian Motion
I. Nourdin · 2012
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Absolute continuity and convergence of densities for random vectors on Wiener chaos
I. Nourdin, D. Nualart, and G. Poly · 2012
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Normal approximations with Malliavin calculus : from Stein’s method to universality
I. Nourdin and G. Peccati · 2012
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Convergence in total variation on Wiener chaos
I. Nourdin and G. Poly · 2012
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On the equivalence between Stein and de Bruijn identities
S. Park, E. Serpedin, and K. Qaraqe · 2012
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Y. Hu, F. Lu and D. Nualart (2013). Convergence of densities of some functionals of Gaussian processes. Preprint
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Local Pinsker inequalities via Steins discrete density approach
C. Ley and Y. Swan · 2013
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Stein’s density approach and information inequalities
C. Ley and Y. Swan · 2013
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Asymptotic independence of multiple Wiener-Itô integrals and the resulting limit laws
I. Nourdin and J. Rosiński · 2013
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Entropy bounds for discrete random variables via maximal coupling
I. Sason · 2013
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Improved lower bounds on the total variation distance for the Poisson approximation
I. Sason · 2013
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