Let x be a random variable with support {1, 2, 3, 5, 15, 25, 50}, each point of which has the same probability 1/7. Argue that c=5 is the value that minimizes h(c)=E(|X-c|). Compare this to the value of b that minimizes g(b)=E[(X-b)^2].

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- Apr 2nd 2009, 07:59 PMantmanminimizing value
Let x be a random variable with support {1, 2, 3, 5, 15, 25, 50}, each point of which has the same probability 1/7. Argue that c=5 is the value that minimizes h(c)=E(|X-c|). Compare this to the value of b that minimizes g(b)=E[(X-b)^2].

- Apr 3rd 2009, 12:00 AMMoo
Hello,

You can have a look here : http://www.medicine.mcgill.ca/epidem...n-elevator.pdf

and here for a "similar" problem : http://www.mathhelpforum.com/math-he...blem-50-a.html (I think that the relevant messages are from post #15)

For b, it's the problem of least squares. You can google for "least squares" - Apr 3rd 2009, 12:31 AMCaptainBlack