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The Davis inequalities and the Gundy decomposition for two-parameter strong martingales. I

1991
Let \(M=(M_ t)_{t\in\mathbb{R}^ 2_ +}\) be a right continuous, two- parameter strong martingale such that \(\mathbb{E}\sup_{s\leq t}M_ ...
Gushchin, A. A., Mishura, Yu. S.
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A generalized Itô formula for two-parameter martingales. II

1986
This article is a continuation of the previous work of the author on the same subject [ibid. 30, 114-127 (1984; Zbl 0563.60047); English translation in Theory Probab. Math. Stat. 30, 127-142 (1985)]. The present paper is devoted to establish a change of variable formula for two-parameter martingales which can be decomposed into four orthogonal ...
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On the itô formula for two-parameter martingales

2005
Nikos Frangos   +2 more
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