Abstract
In Chap. 5 we saw the Chernoff Bound, our first example of a concentration bound. Typically, this bound is used to show that a random variable is very close to its expected value with high probability. Such tools are extremely valuable to users of the probabilistic method as they allow us to show that with high probability, a random experiment behaves approximately as we “expect” it to.
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© 2002 Springer-Verlag Berlin Heidelberg
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Molloy, M., Reed, B. (2002). Talagrand’s Inequality and Colouring Sparse Graphs. In: Graph Colouring and the Probabilistic Method. Algorithms and Combinatorics, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04016-0_10
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DOI: https://doi.org/10.1007/978-3-642-04016-0_10
Publisher Name: Springer, Berlin, Heidelberg
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