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Some Laws of the Iterated Logarithm for Two Parameter Martingales
Authors:Jiming Jiang
Institution:(1) Department of Statistics, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio, 44106-7054
Abstract:We prove some laws of the iterated logarithm for two parameter martingale differences of the following type: E(X t|sgr(X s, s 1<t 1 or s 2<t 2))=0 a.s.
Keywords:Two parameter martingales  law of the iterated logarithm  exponential inequality
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