The Cumulant Process and Esscher's Change of Measure
Document type:
Zeitschriftenaufsatz
Author(s):
Kallsen, J.; A., Shiryaev
Non-TUM Co-author(s):
ja
Cooperation:
international
Abstract:
In this paper two kinds of cumulant processes are studied in a general setting. These processes generalize the cumulant of an infinitely divisible random variable and they appear as the exponential compensator of a semimartingale. In a financial context cumulant processes lead to a generalized Esscher transform. We also provide some new criteria for uniform integrability of exponential martingales.