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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A divergent, two-parameter, bounded martingale


Authors: Lester E. Dubins and Jim Pitman
Journal: Proc. Amer. Math. Soc. 78 (1980), 414-416
MSC: Primary 60G42; Secondary 60G44
MathSciNet review: 553386
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Abstract | References | Similar Articles | Additional Information

Abstract: An example is given of a divergent, uniformly bounded martingale $ X = \{ {X_t}:t \in T\} $ where the index t ranges over the set T of pairs of positive integers with the usual coordinatewise ordering.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0553386-9
PII: S 0002-9939(1980)0553386-9
Keywords: Multi-parameter martingales
Article copyright: © Copyright 1980 American Mathematical Society