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Homework Statement
Let X~U(0,1). Let the loss function be L(x,y) = (x-y)^4.
a. Compute the risk function R(y) here explicitly. What kind of function is it here?
Homework Equations
let Y=1/2
The Attempt at a Solution
I know you have to find the first and second derivatives of the loss function.
dL(X,y)/dy= -4(x-y)^3
d^2L(X,y)/dy^2= 12(x-y)^2
I don't know where to go from here though. Any help would be much appreciated!