Chernoff-Hoeffding Inequality

They key to this theorem is again the Chernoff-Hoeffding bound. Fix some q2R, and for each point s i in S, let X ibe a random event describing the effect on q(S) of s i. That is X i= 1 if s i2R qand X i= 0 if s i2=R q, so i= 1 for all i2[k]. Let M= P i X i= q(S), and note that E[M] = jSjq(P)=jPj. Multiplying Mby k= jSjwe can now apply Theorem 2 ...

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