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On a uniform law of the iterated logarithm for sums mod 1 and Benford's law

✍ Scribed by P. Schatte


Publisher
Springer
Year
1992
Tongue
English
Weight
563 KB
Volume
31
Category
Article
ISSN
0363-1672

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On the Law of The Iterated Logarithm for
✍ Rainer Schwabe; Allan Gut πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 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