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math.PR2023
Efficient evaluation of joint pdf of a Lévy process, its extremum, and hitting time of the extremum
Svetlana Boyarchenko, Sergei Levendorskii
For Lévy processes with exponentially decaying tails of the Lévy density, we derive integral representations for the joint cpdf of (the process, its supre…
math.PR2023
Efficient inverse -transform: sufficient conditions
Svetlana Boyarchenko, Sergei Levendorskiĭ
We derive several sets of sufficient conditions for applicability of the new efficient numerical realization of the inverse -transform. For large , the complexity of the new…