A definition and some characteristic properties of pseudo-stopping times

成果类型:
Article
署名作者:
Nikeghbali, A; Yor, M
署名单位:
Universite Paris Cite; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
DOI:
10.1214/009117905000000297
发表日期:
2005
页码:
1804-1824
关键词:
摘要:
Recently, Williams [Bull. London Math. Soc. 34 (2002) 610-612]gave an explicit example of a random time rho associated with Brownian motion such that p is not a stopping time but EM rho = EM0 for every bounded martingale M. The aim of this paper is to characterize such random times, which we call pseudo-stopping times, and to construct further examples, using techniques of progressive enlargements of filtrations.