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MR927241 60B12 (60F05 60F15)
Andersen, Niels T.; Giné, Evarist; Ossiander, Mina; Zinn, Joel The central limit theorem and the law of iterated logarithm for empirical processes under local conditions. Probab. Theory Related Fields 77 (1988), no. 2, 271–305.
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