Abstract
The pigeonhole property of expectation says that a random variable X cannot always be smaller (or always greater) than its expectation E[X]. The second moment property tells us more: if the variance of X is much smaller than E[X]2 then X is almost always near to E[X], that is, the values of X are concentrated around its expectation.
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© 2011 Springer-Verlag Berlin Heidelberg
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Jukna, S. (2011). The Second Moment Method. In: Extremal Combinatorics. Texts in Theoretical Computer Science. An EATCS Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17364-6_21
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DOI: https://doi.org/10.1007/978-3-642-17364-6_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17363-9
Online ISBN: 978-3-642-17364-6
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