Article citationsMore>>
Choulli, T. and Stricker, C. (1996) Deux applications de la décomposition de galtchouk-kunitawatanabe. In: Azéma, J., Yor, M. and Emery, M., Eds., Séminaire de Probabilités XXX, Springer, Berlin, Heidelberg, 12-23.
https://doi.org/10.1007/BFb0094638
has been cited by the following article:
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TITLE:
Different Types of Structure Conditions of Semimartingale with Jacod Decomposition
AUTHORS:
Winfrida Mwigilwa, Jane Aduda, Bidima Martin Le Doux Mbele, Ananda Kube
KEYWORDS:
Structure Condition (SC), Minimal Structure Condition (MSC), Natural Struc-ture Condition (NSC), Jacod Decomposition
JOURNAL NAME:
Journal of Mathematical Finance,
Vol.12 No.2,
May
26,
2022
ABSTRACT: The objective of this article is to use Jacod decomposition to develop different types of semimartingale structure conditions. We make the following contributions to that end: When a continuous semimartingale meets the structure condition (SC), we prove that there is a minimal martingale density and a predictable variation part. When a special semimartingale meets the minimal structure condition (MSC) and the natural structure condition (NSC), we derive a Radon-Nikodym decomposition and a Natural Kunita-Watanabe decomposition from a given sigma martingale density, which is written under the Jacod decomposition.