A note on dilations and martingales

The purpose of this note is to investigate the effect of dilations on martingales and to give conditions under which a dilated martingale will retain the martingale property. The technique of dilating the joint distribution of a sequence of random variables has applications in optimal stopping theor...

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Bibliographic Details
Main Author: Martin L. Jones
Format: Article
Language:English
Published: Hindawi Limited 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117129300105X