Geodesic
On the growth of sums of the indicators of events
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 150-154

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Some almost sure estimates of the growth of sums of the indicators of events are proved. A generalization of Philipp's result is obtained. 
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     author = {V. V. Petrov},
     title = {On the growth of sums of the indicators of events},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a8/}
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V. V. Petrov. On the growth of sums of the indicators of events. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 150-154. http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a8/