Question

X_1, X_2, ..., X_n are i.i.d. with f(x| heta) = e^{- heta} cdot frac{ heta^x}{x!}, x = 0, 1, 2, ... where heta > 0 is unknown. Let delta = h(X_1, X_2, ..., X_n) be an estimator of heta such that E_ heta(delta) = heta for all heta > 0. Define delta_1 by delta_1 = delta + 3. (a) Find R_{delta_1}( heta) in terms of R_delta( heta) (b) Using part (a), what can we conclude about delta_1? JUSTIFY! (Here R_delta( heta) = M.S.E. (delta) for any delta)

          X_1, X_2, ..., X_n are i.i.d. with f(x|	heta) = e^{-	heta} cdot frac{	heta^x}{x!}, x = 0, 1, 2, ... where 	heta > 0 is unknown. Let delta = h(X_1, X_2, ..., X_n) be an estimator of 	heta such that E_	heta(delta) = 	heta for all 	heta > 0. Define delta_1 by delta_1 = delta + 3. (a) Find R_{delta_1}(	heta) in terms of R_delta(	heta) (b) Using part (a), what can we conclude about delta_1? JUSTIFY! (Here R_delta(	heta) = M.S.E. (delta) for any delta)

$X1, X2, ..., Xn are i.i.d. with f(x| heta) = e^- heta cdot frac heta^xx!, x = 0, 1, 2, ... where heta > 0 is unknown. Let delta = h(X1, X2, ..., Xn) be an estimator of heta such that E heta(delta) = heta for all heta > 0. Define delta1 by delta1 = delta + 3. (a) Find Rdelta1( heta) in terms of Rdelta( heta) (b) Using part (a), what can we conclude about delta1? JUSTIFY! (Here Rdelta( heta) = M.S.E. (delta) for any delta)$

Added by Esperanza M.

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