Question: For the Bernoulli statistical model (Table 11.1): (a) Discuss whether the following functions constitute possible estimators of : (b) For those that constitute estimators, derive

For the Bernoulli statistical model (Table 11.1):

(a) Discuss whether the following functions constitute possible estimators of θ:

(i) = Xn, (ii) 2 = (X1-X2), (iii) 3 = (X1-X2+Xn), (iv)=X,

(b) For those that constitute estimators, derive their sampling distributions.

(i) = Xn, (ii) 2 = (X1-X2), (iii) 3 = (X1-X2+Xn), (iv)=X, (v) n+1 = n n+1 X-

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