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math.PR2015
Regularized Distributions and Entropic Stability of Cramer's Characterization of the Normal Law
S. G. Bobkov, G. P. Chistyakov, F. Götze
For regularized distributions we establish stability of the characterization of the normal law in Cramer's theorem with respect to the total variation norm and the entropic distanc…
math.PR2011★ 1 cited
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.