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arxiv: 1303.0159 · v1 · pith:Z4I53VDSnew · submitted 2013-03-01 · 🧮 math.ST · stat.TH

Smoothing effect of Compound Poisson approximation to distribution of weighted sums

classification 🧮 math.ST stat.TH
keywords approximationcompoundeffectestimatedpoissonsmoothingsumsaccuracy
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The accuracy of compound Poisson approximation to the sum $S=w_1S_1+w_2S_2+...+w_NS_N$ is estimated. Here $S_i$ are sums of independent or weakly dependent random variables, and $w_i$ denote weights. The overall smoothing effect of $S$ on $w_iS_i$ is estimated by L\' evy concentration function.

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