Continuous stochastic processes in Riesz spaces: the Doob–Meyer decomposition

被引:0
|
作者
J. J. Grobler
机构
[1] North-West University,
来源
Positivity | 2010年 / 14卷
关键词
Vector lattice; Stochastic process with continuous parameter; Doob–Meyer decomposition; Submartingale; 06F20; 46A40; 60G44; 60G07;
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摘要
We study those aspects of continuous stochastic processes in Riesz spaces that enable us to state and prove the Doob–Meyer decomposition theorem for submartingales. We use the concepts developed for countable processes by Kuo, Labuschagne and Watson.
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页码:731 / 751
页数:20
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