6 citations · 9 across the 5 of their papers we have counts for
5 papers
Asymptotic Expansions and two-sided Bounds in Randomized Central Limit Theorems
S. G. Bobkov, G. P. Chistyakov, F. Götze
Lower and upper bounds are explored for the uniform (Kolmogorov) and -distances between the distributions of weighted sums of dependent summands and the normal law. The result…
Strictly subgaussian probability distributions
S. G. Bobkov, G. P. Chistyakov, F. Götze
We explore the class of probability distributions on the real line whose Laplace transform admits a strong upper bound of subgaussian type. Using Hadamard's factorization theorem,…
Edgeworth-type expansion in the entropic free CLT
Gennadii Chistyakov, Friedrich Götze
We prove an expansion for densities in the free CLT and apply this result to an expansion in the entropic free central limit theorem assuming a moment condition of order four for t…
Rényi divergence and the central limit theorem
S. G. Bobkov, G. P. Chistyakov, F. Götze
We explore properties of the and more general Rényi (Tsallis) distances to the normal law. In particular we provide necessary and sufficient conditions for the convergence to…
Fisher information and the central limit theorem
S. G. Bobkov, G. P. Chistyakov, F. Götze
An Edgeworth-type expansion is established for the relative Fisher information distance to the class of normal distributions of sums of i.i.d. random variables, satisfying moment c…