If maximum likelihood estimator (MLE) of 0 is ô = -£,x} , then what is the i=D1 maximum likelihood estimator (MLE) of E (X) 0? (D) : V2 (B) E1x? (A) 1 sn (C) Li=1 Li=1 i=D1 i=1

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Let X1,X2, ...,X, be a random sample of size n from a half-normal distribution with
an unknown parameter 0 and probability density function (pdf) given as follows:
x2
202
x >0; 0 > 0
e
f(x; 0) =
otherwise
If maximum likelihood estimator (MLE) of 0 is 0
2=1x , then what is the
n
maximum likelihood estimator (MLE) of E (X)
0?
(A)
(Β) ΥΣ1 Χ
(B)
(C)
(D)
=D1
O D
O B
O A
Transcribed Image Text:Let X1,X2, ...,X, be a random sample of size n from a half-normal distribution with an unknown parameter 0 and probability density function (pdf) given as follows: x2 202 x >0; 0 > 0 e f(x; 0) = otherwise If maximum likelihood estimator (MLE) of 0 is 0 2=1x , then what is the n maximum likelihood estimator (MLE) of E (X) 0? (A) (Β) ΥΣ1 Χ (B) (C) (D) =D1 O D O B O A
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