Advertisement
Published in:
2002 | OriginalPaper | Chapter
The Chernoff Bound
Authors : Michael Molloy, Bruce Reed
Published in: Graph Colouring and the Probabilistic Method
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
The First Moment Principle states that a random variable X is at most E(X) with positive probability. Often we require that X is near E(X) with very high probability. When this is the case, we say that X is concentrated. In this book, we will see a number of tools for proving that a random variable is concentrated, including Talagrand’s Inequality and Azuma’s Inequality. In this chapter, we begin with the simplest such tool, the Chernoff Bound.