
arXiv: 1506.04856
We discuss the properties of three upsilon transforms, which are related to the class of $p$-tempered $α$-stable ($TS^p_α$) distributions. In particular, we characterize their domains and show how they can be represented as compositions of each other. Further, we show that if $-\infty
Stochastic integrals, Probability (math.PR), Infinitely divisible distributions; stable distributions, Processes with independent increments; Lévy processes, upsilon transforms, transforms of Lévy measures, 60E07, 60H05, FOS: Mathematics, 60G51, tempered stable distributions, Mathematics - Probability
Stochastic integrals, Probability (math.PR), Infinitely divisible distributions; stable distributions, Processes with independent increments; Lévy processes, upsilon transforms, transforms of Lévy measures, 60E07, 60H05, FOS: Mathematics, 60G51, tempered stable distributions, Mathematics - Probability
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