Indicator Function and Hattendorff Theorem

Details

Serval ID
serval:BIB_2B4898B0E4B5
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Indicator Function and Hattendorff Theorem
Journal
North American Actuarial Journal
Author(s)
Gerber H. U., Leung B. P. K., Shiu E. S. W.
Publication state
Published
Issued date
2003
Peer-reviewed
Oui
Volume
7
Number
1
Pages
38-47
Language
english
Abstract
This paper presents an integration-by-parts proof of the Hattendorff theorem in the general fully continuous insurance model. The proof motivates a derivation of the theorem in the general fully discrete insurance model. Increments of a martingale over disjoint time intervals are uncorrelated random variables; the paper explains that the Hattendorff theorem can be viewed as an application of this result. A notable feature of the paper is the extensive use of the indicator function.
Create date
19/11/2007 9:57
Last modification date
20/08/2019 13:10
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