Suppose that θ^ is an estimator for a parameter θ, and e(θ^)=aθ b for some nonzero constants a and b.

(a) What does the expression e( θ^ ) represent in the context of statistical estimation?
(b) Discuss the implications of the given form e( θ^)=aθ bfor the bias of the estimator θ^.
(c) Explore how the values of a and b may influence the bias of θ^ and its performance as an estimator.