INTEGRATION BY PARTS FOR POISSON PROCESSES

被引:23
|
作者
ELLIOTT, RJ
TSOI, AH
机构
[1] Department of Statistics and Applied Probability, University of Alberta, Edmonton, AB
关键词
POISSON PROCESS; INTEGRATION BY PARTS; TIME CHANGE; MARTINGALE REPRESENTATION;
D O I
10.1006/jmva.1993.1010
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Using a perturbation of the rate of a Poisson process and an inverse time change, an integration by parts formula is obtained. This enables a new form of the integrand in a martingale representation result to be obtained. © 1993 Academic Press, Inc.
引用
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页码:179 / 190
页数:12
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