Chernoff Bounds
If the random variables may also be assumed to be independent, it is possible to obtain sharper bounds. Let δ > 0. Then
With this inequality it can be shown that
where μ is the mean of the distribution. Further discussion may be found in the article on Chernoff bounds
Read more about this topic: Chebyshev's Inequality
Famous quotes containing the word bounds:
“At bounds of boundless void.”
—Samuel Beckett (1906–1989)