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
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