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Non-uniform bounds in local limit theorems in case of fractional moments. I. (English) Zbl 1239.60016
Summary: 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 not an integer.

##### MSC:
 60F05 Central limit and other weak theorems 60E10 Characteristic functions; other transforms
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##### References:
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