Arbeitspapier

Tempered infinitely divisible distributions and processes

In this paper, we construct the new class of tempered infinitely divisible (TID) distributions. Taking into account the tempered stable distribution class, as introduced by in the seminal work of Rosinsky , a modification of the tempering function allows one to obtain suitable properties. In particular, TID distributions may have exponential moments of any order and conserve all proper properties of the Rosinski setting. Furthermore, we prove that the modified tempered stable distribution is TID and give some further parametric example.

Language
Englisch

Bibliographic citation
Series: KIT Working Paper Series in Economics ; No. 26

Classification
Wirtschaft
Subject
stable distributions
tempered stable distributions
tempered infinitely divisible distributions
modified tempered stable distributions

Event
Geistige Schöpfung
(who)
Bianchi, Michele Leonardo
Rachev, Svetlozar T.
Kim, Young Shin
Fabozzi, Frank J.
Event
Veröffentlichung
(who)
Karlsruher Institut für Technologie (KIT), Institut für Volkswirtschaftslehre (ECON)
(where)
Karlsruhe
(when)
2011

DOI
doi:10.5445/IR/1000023237
Handle
URN
urn:nbn:de:swb:90-232379
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Bianchi, Michele Leonardo
  • Rachev, Svetlozar T.
  • Kim, Young Shin
  • Fabozzi, Frank J.
  • Karlsruher Institut für Technologie (KIT), Institut für Volkswirtschaftslehre (ECON)

Time of origin

  • 2011

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