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Old 09-22-2015, 02:46 AM
LambdaX LambdaX is offline
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Default Exercise 1.10

I'm confused as to what part c of Exercise 1.10 is asking. What does it mean by the following?

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"plot estimates for P[|ν-μ| > ε] as a function of ε, together with the Hoeffding bound 2e<sup>-2ε<sup>2</sup>N</sup> (on the same graph)."
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Does this mean to plot P[|ν-μ| > ε] and 2e<sup>-2ε<sup>2</sup>N</sup> each as a separate graph? I can plot  2e<sup>-2ε<sup>2</sup>N</sup> as a function of ε easily, but how would I go about plotting P[|ν-μ| > ε]? Would I define a function that plots the likelihood that |ν-μ| > ε based on the input ε, using the data obtained in part b? Am I on the right track with this thinking?
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Also, is the book asking to plot a separate graph for each graph in b (i.e. ν<sub>1</sub>, ν<sub>rand</sub>, and ν<sub>min</sub>), based on the distribution of ν for each?
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chapter 1, exercise 1.10, hoeffding

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