Thread: Exercise 1.10
View Single Post
Old 09-24-2015, 01:35 PM
magdon's Avatar
magdon magdon is offline
Join Date: Aug 2009
Location: Troy, NY, USA.
Posts: 597
Default Re: Exercise 1.10

The problem asks you to compute P[|ν-μ| > ε] from your data for ε equal to (say) 0,0.01,0.02,0.03,....0.5
Now plot this computed probability for each value of epsilon versus epsilon.

Originally Posted by LambdaX View Post
I apologize for the previous format. I can't seem to find a way to edit or delete the thread. Here's a more readable version.

What does it mean by the following?

"plot estimates for P[|ν-μ| > ε] as a function of ε, together with the Hoeffding bound 2e^(-2(ε^2)N) (on the same graph)."

Does this mean to plot P[|ν-μ| > ε] and 2e^(-2(ε^2)N) each as a separate graph? I can plot 2e^(-2(ε^2)N) 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?

Also, is the book asking to plot a separate graph for each graph in b (i.e. ν_1 ν_rand, and ν_min), based on the distribution of ν for each?
Have faith in probability
Reply With Quote