Geodesic
One-side theorems on the law of the iterated logarithm without the independence assumption
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 150-156 Cet article a éte moissonné depuis la source Math-Net.Ru

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Two theorems on the law of the iterated logarithm are proved for sequences of not necessarily independent random variables. These theorems are one-sided analogoues of some results of Lai and Stout. 
@article{ZNSL_1983_130_a15,
     author = {V. V. Petrov},
     title = {One-side theorems on the law of the iterated logarithm without the independence assumption},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {150--156},
     year = {1983},
     volume = {130},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a15/}
}
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V. V. Petrov. One-side theorems on the law of the iterated logarithm without the independence assumption. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 150-156. http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a15/