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The Annals of Statistics, ISSN 0090-5364, 06/2019, Volume 47, Issue 3, pp. 1616 - 1633
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 09/2019, Volume 65, Issue 9, pp. 5294 - 5301
Upper bounds on absolute moments of the scores are derived for sums of independent random variables in terms of the moments of the scores, as well as in terms... 
Score | Density measurement | Convolution | Stam’s inequality | Exponential distribution | score function | Random variables | total variation | Zinc | Convergence | Fisher information | Stam's inequality | COMPUTER SCIENCE, INFORMATION SYSTEMS | convolution | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
ANNALS OF STATISTICS, ISSN 0090-5364, 06/2019, Volume 47, Issue 3, pp. 1616 - 1633
Let F-n denote the distribution function of the normalized sum of n i.i.d. random variables. In this paper, polynomial rates of approximation of F n by the... 
STATISTICS & PROBABILITY | Edgeworth approximations | Central limit theorem
Journal Article
Journal of Theoretical Probability, ISSN 0894-9840, 12/2018, Volume 31, Issue 4, pp. 2390 - 2411
Let $$F_n$$ Fn denote the distribution function of the normalized sum $$Z_n = (X_1 + \cdots + X_n)/(\sigma \sqrt{n})$$ Zn=(X1+⋯+Xn)/(σn) of i.i.d. random... 
Edgeworth expansions | Central limit theorem | Diophantine approximation | Probability Theory and Stochastic Processes | Mathematics | Statistics, general | 60F | STATISTICS & PROBABILITY
Journal Article
Probability Surveys, ISSN 1549-5787, 2016, Volume 13, Issue 2016, pp. 57 - 88
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 07/2013, Volume 83, Issue 7, pp. 1644 - 1648
The central limit theorem is considered with respect to the transport distance . We discuss an alternative approach to a result of E. Rio, based on a... 
Transport metrics | Berry-Esseen-type bounds | Central limit theorem
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 12/2017, Volume 63, Issue 12, pp. 7747 - 7752
Journal Article
Probability Theory and Related Fields, ISSN 0178-8051, 2/2018, Volume 170, Issue 1, pp. 229 - 262
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 07/2013, Volume 83, Issue 7, pp. 1644 - 1648
The central limit theorem is considered with respect to the transport distance . We discuss an alternative approach to a result of E. Rio, based on a... 
Central limit theorem | Berry–Esseen-type bounds | Transport metrics
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 6/2016, Volume 195, Issue 3, pp. 681 - 695
The paper considers geometric lower bounds on the isoperimetric constant for logarithmically concave probability measures, extending and refining some results... 
60E15 | 52A40 | Geometric functional inequalities | Logarithmically concave distributions | Mathematics, general | Mathematics | Isoperimetric inequalities | 46B09
Journal Article
Electronic Communications in Probability, ISSN 1083-589X, 2015, Volume 20, pp. 1 - 12
Journal Article
STATISTICS & PROBABILITY LETTERS, ISSN 0167-7152, 07/2013, Volume 83, Issue 7, pp. 1644 - 1648
The central limit theorem is considered with respect to the transport distance W-2. We discuss an alternative approach to a result of E. Rio, based on a... 
Transport metrics | STATISTICS & PROBABILITY | COST | Central limit theorem | Berry-Esseen-type bounds
Journal Article
Statistics & Probability Letters, ISSN 0167-7152, 07/2013, Volume 83, Issue 7, pp. 1644 - 1648
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 02/2015, Volume 61, Issue 2, pp. 708 - 714
The classical entropy power inequality is extended to the Rényi entropy. We also discuss the question of the existence of the entropy for sums of independent... 
entropy power inequality | Atmospheric measurements | Tin | Particle measurements | Educational institutions | Entropy | Vectors | Random variables | Renyi entropy | CONVERSE | COMPUTER SCIENCE, INFORMATION SYSTEMS | PROOF | YOUNGS-INEQUALITY | ENGINEERING, ELECTRICAL & ELECTRONIC | Random noise theory | Usage | Innovations | Information theory
Journal Article
06/2009
Annals of Probability 2009, Vol. 37, No. 2, 403-427 Brascamp--Lieb-type, weighted Poincar\'{e}-type and related analytic inequalities are studied for... 
Mathematics - Probability
Journal Article
Probability Theory and Related Fields, ISSN 0178-8051, 5/2010, Volume 147, Issue 1, pp. 303 - 332
Journal Article
Journal of Mathematical Sciences, ISSN 1072-3374, 5/2009, Volume 159, Issue 1, pp. 47 - 53
Isoperimetric constants of product probability measures are known to have an almost dimension-free character. We propose a new proof based on certain... 
Mathematics, general | Mathematics
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 10/2017, Volume 19, Issue 5, p. 1650058
Sharpened forms of the concentration of measure phenomenon for classes of functions on the sphere are developed in terms of Hessians of these functions. 
Concentration of measure phenomenon | logarithmic Sobolev inequalities | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
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