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.
โฆ LIBER โฆ
On Moderate Deviations of Sums of m-Dependent Random Vectors
โ Scribed by Lothar Heinrich; Wolf-Dieter Richter
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 465 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
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In this paper, it is shown that a convolution of uniform distributions (a) is more dispersed and (b) has a smaller hazard rate when the scale parameters of the uniform distributions are more dispersed in the sense of majorization. It is also shown that a convolution of gamma distributions with a com