Non-Uniform Bounds in Local Limit Theorems in Case of Fractional Moments (1104.3759v1)

Abstract: 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.