A criterion is derived for quasi-infinitely divisible distributions with dominated continuous singular parts, generalizing prior discrete and mixed cases while describing the Lévy-type triplet and solving a decomposition problem.
Applebaum, L´ evy Processes and Stochastic Calculus, Camb
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The class $\boldsymbol{Q}$ and mixture distributions with dominated continuous singular parts
A criterion is derived for quasi-infinitely divisible distributions with dominated continuous singular parts, generalizing prior discrete and mixed cases while describing the Lévy-type triplet and solving a decomposition problem.