218003114_2_720603014_2_HW_CH3-��

218003114_2_720603014_2_HW_CH3-�� - 1 . (3.10...

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1 . (3.10 in the textbook) Suppose 12 {, , , } N X xx x = L is (i.i.d.) sampled from 2 (, ) N μσ : tell whether the maximum-likelihood estimators of μ and 2 σ are biased. 2 . (3.3 in the textbook) Suppose N X x = L is (i.i.d.) sampled from: (1 ) , 0 , 1 ,0 1 , 1 f xP PQ x P Q P == = . Show the maximum-likelihood estimator of P . 3 . Show that if our model is poor, the maximum likelihood classifier we derive is not the best – even among our poor model set – by exploring the following examples. Suppose we have two equally
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