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Non-Uniform Bounds in Local Limit Theorems in Case of Fractional Moments

By S. G. Bobkov, G. P. Chistyakov and 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 variables with finite (fractional) moments of order $s \geq 2$, where $s$ may be noninteger

Topics: Mathematics - Probability, 60E
Year: 2011
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