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Laws of the iterated logarithm for locally square integrable martingales
Authors:Fu Qing Gao
Institution:(1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P. R. China
Abstract:Three types of laws of the iterated logarithm (LIL) for locally square integrable martingales with continuous parameter are considered by a discretization approach. By this approach, a lower bound of LIL and a number of FLIL are obtained, and Chung LIL is extended. Research supported by the National Natural Science Foundation of China (No. 10271091, 10571139)
Keywords:locally square integrable martingales  law of the iterated logarithm
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