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On conditional medians and a law of iterated logarithm for strongly multiplicative systems

✍ Scribed by M. Csörgö; D. L. McLeish


Publisher
Akadmiai Kiad
Year
1977
Tongue
English
Weight
130 KB
Volume
29
Category
Article
ISSN
1588-2632

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On the Law of The Iterated Logarithm for
✍ Rainer Schwabe; Allan Gut 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 490 KB

The usual law of the iterated logarithm states that the partial sums Sn of independent and identically distributed random variables can be normalized by the sequence an = d -, such that limsup,,, &/a, = t/z a. 9.. As has been pointed out by GUT (1986) the law fails if one considers the limsup along