Abstract: By using the Markov inequality and Kolmogorov exponential inequality, we obtained the law of the iterated logarithm for extended negatively depenent (ND) identically distributed sequence for sublinear expectation space under a general moment condition. Thus, the law of the iterated logarithm under sub linear expectation space was generalized.

Key words: law of iterated logarithm, extended negative depenence, sublinear expectation, capacity