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Asymptotic constancy of the norm of sums of random vectors

✍ Scribed by G. Bakstys


Publisher
Springer
Year
1989
Tongue
English
Weight
532 KB
Volume
29
Category
Article
ISSN
0363-1672

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✍ C. Cooper πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 230 KB πŸ‘ 1 views

We consider sequences of length m of n-tuples each with k nonzero entries chosen randomly from an Abelian group or finite field. For what values of m does there exist a subsequence which is zero-sum or linearly dependent, respectively? We report some results relating to these problems.

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✍ Liang Peng πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 104 KB

Asymptotic expansions of densities of the normalized sums of random vectors with at least ΓΏnite third moment have been studied extensively (Normal Approximation and Asymptotic expansions. Wiley, New York.). In this note, we obtain the asymptotic expansions of densities of the normalized sums of i.i.