84 citations · 508 across the 36 of their papers we have counts for
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Berry-Esseen bounds in the entropic central limit theorem
Sergey G. Bobkov, Gennadiy P. Chistyakov, Friedrich Götze
Berry-Esseen-type bounds for total variation and relative entropy distances to the normal law are established for the sums of non-i.i.d. random variables.
Convergence to Stable Laws in Relative Entropy
S. G. Bobkov, G. P. Chistyakov, F. Götze
Convergence to stable laws in relative entropy is established for sums of i.i.d. random variables.
Non-Uniform Bounds in Local Limit Theorems in Case of Fractional Moments
S. G. Bobkov, G. P. Chistyakov, F. Götze
Edgeworth-type expansions for convolutions of probability densities and powers of the characteristic functions with non-uniform error terms are established for i.i.d. random variab…
Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem
Sergey G. Bobkov, Gennadiy P. Chistyakov, Friedrich Götze
An Edgeworth-type expansion is established for the entropy distance to the class of normal distributions of sums of i.i.d. random variables or vectors, satisfying minimal moment co…