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Title:

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.
Intellectual Contribution:
Discipline-based Research
Journal title:
Finance and Stochastics
Year:
2002
Journal volume:
6
Journal issue:
4
Pages contribution:
397-428
Language:
en
Key publication:
Nein
Peer reviewed:
Ja
International:
Ja
Book review:
Nein
Commissioned:
not commissioned
Professional Journal:
Nein
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