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An extension of Janson's inequality

✍ Scribed by Małgorzata Roos

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
521 KB
Volume
8
Category
Article
ISSN
1042-9832

No coin nor oath required. For personal study only.

✦ Synopsis

An upper bound for P[W=O],

where W is a sum of indicator variables with a special structure, which appears, for example, in subgraph counts in random graphs, is derived. Furthermore, its applications to a problem of k-runs and a random graph problem are given. The result is a generalization and an improvement of the well-known Janson's inequality.

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