Thanks.

Let

*f=f(x)*be a nonnegative even function that is non-decreasing for positive

*x*, Then for a random X with |

*X*(

*w*)|<=C,

{E

*f*(X)-

*f*(e)}/

*f*(C) < = P{|X-E(X)| > = e} <= {E

*f*(X-EX)}/

*f*(e).

In particular, if f(x)=x^2

{E x^2-e^2}/C^2 < = P{|X-E(X)| > = e} <= V(X)/e^2.

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e means epsilon