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 
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/
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     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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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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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