Non-Uniform Bounds in Local Limit Theorems in Case of Fractional Moments
classification
🧮 math.PR
keywords
fractionalmomentsnon-uniformboundscasecharacteristicconvolutionsdensities
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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.
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