A convolution inequality, yielding a sharper Berry-Esseen theorem for summands Zolotarev-close to normal
From MaRDI portal
Publication:6633970
DOI10.1090/TPMS/1217MaRDI QIDQ6633970
Publication date: 6 November 2024
Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)
Could not fetch data.
Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Inequalities for sums, series and integrals (26D15) Convolution, factorization for one variable harmonic analysis (42A85)
Cites Work
- Convergence de la répartition empirique vers la répartition théorique
- Remarks on the compactness and non direct products of measures
- GLOBAL VERSIONS OF THE CENTRAL LIMIT THEOREM
- Optimal Transport
- Calcul des probabilités.
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Some optimal bounds in the central limit theorem using zero biasing
- Asymptotically optimal Berry-Esseen-type bounds for distributions with an absolutely continuous part
- Binomial approximation to the Poisson binomial distribution
- Minimalstellen von Funktionen und Extremalpunkte
- Rounding of continuous random variables and oscillatory asymptotics
- Bounds on the constant in the mean central limit theorem
- Convergence rate in integral limit theorem with stable limit law
- Finite exchangeable sequences
- Normal approximation - some recent advances
- A note on numerical rate of convergence estimates in central limit theorem
- \(L_1\) bounds for asymptotic normality of m-dependent sums using Stein's technique
- An asymptotic expansion in the case of a stable approximation law
- On the law of frequency of error.
- Eine neue Herleitung des Exponentialgesetzes in der Wahrscheinlichkeitsrechnung.
- Über den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung und das Momentenproblem.
- Note on the convergence of a sequence of functions of a certain type.
- On the calculation of the most probable values of frequency-constants for data arranged according to equidistant divisions of a scale.
- Symmetric and asymmetric rounding: a review and some new results
- Norm inequalities for derivatives and differences
- Fifty years in the field of probability: a conversation with Professor Vygantas Paulauskas
- On the error bound in a combinatorial central limit theorem
- Life distributions. Structure of nonparametric, semiparametric, and parametric families.
- Generalized convex inequalities
- Weighted Zolotarev metrics and the Kantorovich metric
- Estimates o f the difference between distributions in the Levy metric
- The accuracy of the Gaussian approximation to the sum of independent variates.
- Théorie de l'addition des variables aléatoires.
- Über eine Eigenschaft der normalen Verteilungsfunktion.
- The asymptotic expansion of a ratio of gamma functions
- Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
- Penultimate gamma approximation in the CLT for skewed distributions
- The asymptotic Berry-Esseen constant for intervals
- Stability Problems in Cramér-Type Characterization in case of I.I.D. Summands
- On the distance between convex-ordered random variables, with applications
- Normal Approximation and Asymptotic Expansions
- Approximation of sums by compound Poisson distributions with respect to stop-loss distances
- On the Normal Approximation to Symmetric Binomial Distributions
- Nonclassical Error Bounds for Asymptotic Expansions in the Central Limit Theorem
- Normal Approximation by Stein’s Method
- On summation of independent variables in a non-classical situation
- A Non-Classical Error-Estimate in the Central Limit Theorem
- On Refining the Remainder Term in the Central Limit Theorem
- Uniform Estimates of the Rate of Convergence in the Multi-Dimensional Central Limit Theorem
- A Non-Uniform Estimate for the Speed of Convergence in the Central Limit Theorem in R
- METRIC DISTANCES IN SPACES OF RANDOM VARIABLES AND THEIR DISTRIBUTIONS
- Distance between sampling with and without replacement
- Modern Theory of Summation of Random Variables
- The s-convex orders among real random variables, with applications
- Normal Approximation
- A New General Estimate of the Rate of Convergence in the Central Limit Theorem in R k
- A New Asymptotic Expansion and Asymptotically Best Constants in Lyapunov's Theorem. II
- On normal approximations to symmetric hypergeometric laws
- The Monge-Kantorovich problem: achievements, connections, and perspectives
- On the Accuracy in a Combinatorial Central Limit Theorem: The Characteristic Function Method
- In Memory of V. M. Zolotarev (02.27.1931--11.07.2019)
- Mikhail Aleksandrovich Shubin (1944–2020)
- On the Convergence Rate in Lyapunov's Theorem
- Some Limit Theorems for Large Deviations
- Monotonicity of the Variance Under Truncation and Variations of Jensen's Inequality
- On the Closeness of the Distributions of Two Sums of Independent Random Variables
- Prescribing a System of Random Variables by Conditional Distributions
- Extending n-convex functions
- An optimal Berry-Esseen type theorem for integrals of smooth functions
- On Sums of Symmetrically Truncated Normal Random Variables
This page was built for publication: A convolution inequality, yielding a sharper Berry-Esseen theorem for summands Zolotarev-close to normal
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6633970)