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Integration by parts formulas for marked Hawkes processes.

Authors :
Takeuchi, Atsushi
Source :
Statistics & Probability Letters. Feb2019, Vol. 145, p229-237. 9p.
Publication Year :
2019

Abstract

Abstract Consider the processes { L t ; t ≥ 0 } and { λ t ; t ≥ 0 } associated with a marked Hawkes process and its conditional intensity. In the present paper, the integration by parts formulas for those processes are constructed, and applied to the study on the absolute continuity for their conditional laws. Moreover, the sensitivity formulas for those processes with respect to the parameters are given. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01677152
Volume :
145
Database :
Academic Search Index
Journal :
Statistics & Probability Letters
Publication Type :
Periodical
Accession number :
133519450
Full Text :
https://doi.org/10.1016/j.spl.2018.10.003