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We study properties of symmetric stable measures with index α∈(2,4)∪(4,6). Such measures are signed ones and hence they are not probability measures. For this class of measures we construct an analogy of the Lévy-Khinchin representation. We show that in some sense these signed measures are limit measures for sums of independent random variables.
Acta Applicandae Mathematicae – Springer Journals
Published: Apr 9, 2009
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