7. Let X1, · · · , Xn be i.i.d. with the density p(x, θ) = θ k (1 − θ) 1−k I{x = 0, 1} (a) Find the ML estimator of θ. (...

Question

Question

7. Let X1, · · · , Xn be i.i.d. with the density p(x, θ) = θ k (1 − θ) 1−k I{x = 0, 1}

(a) Find the ML estimator of θ.

(b) Is it unbiased ?

(c) Compute its MSE

7. Let Xi, . . . , Xn be i.id, with the density p(z,0)-gk(1-0)1-k1(z-0, 1) (b) Is it unbiased? (c) Compute its MSE

math Statistics-And-Probability

Answer 1

Answer #1

ixi 0(1-e して o e E(xi) = z) ! Un b tas ed MSE(6) = v(6) unbias ed Cov (Xu Yt 001-)

Answer 2

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