Let X1, . . . , Xn form a random sample from a distribution for which the

Question:

Let X1, . . . , Xn form a random sample from a for which the p.d.f. or the p.f. is f (x|θ), where θ ∈ Ω. Suppose that the value of θ must be estimated, and that T is a sufficient statistic for θ. Let δ be an arbitrary estimator of θ, and let δ0 be another estimator defined by the relation δ0 = E(δ|T ). Show that for every value of θ ∈ Ω,
Eθ (|δ0 − θ|) ≤ Eθ (|δ − θ|).
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...