Asymptotic expansions for products of characteristic functions under moment assumptions of non-integer orders

DOI10.1007/978-1-4939-7005-6_11zbMath1378.60043OpenAlexW2605885642MaRDI QIDQ2406327

Sergey G. Bobkov

Publication date: 27 September 2017

Full work available at URL: https://doi.org/10.1007/978-1-4939-7005-6_11

zbMATH Keywords

characteristic functionsLyapunov coefficientsEdgeworth-type expansions

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability measures on topological spaces (60B05) Entropy and other invariants (28D20)

Related Items (7)

The Chebyshev--Edgeworth Correction in the Central Limit Theorem for Integer-Valued Independent Summands ⋮ Convergence in distribution norms in the CLT for non identical distributed random variables ⋮ Local Limit Theorems for Smoothed Bernoulli and Other Convolutions ⋮ Refinements of Berry-Esseen inequalities in terms of Lyapunov coefficients ⋮ Edgeworth Corrections in Randomized Central Limit Theorems ⋮ Central limit theorem and Diophantine approximations ⋮ Sharp connections between Berry-Esseen characteristics and Edgeworth expansions for stationary processes

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