1 f(y) 20 0 < y < 20. (a) Show that the likelihood function is: 1 L(0) : (0). (20)" [", 1] where I is the indicator function and y(n) is the largest order statistic.

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(b) Show that the MLE of 0 is 0MLE = , where Y(n) is the largest order statistic.
You must justify your answer.
Transcribed Image Text:(b) Show that the MLE of 0 is 0MLE = , where Y(n) is the largest order statistic. You must justify your answer.
|20 points] Suppose Y1,.
where 0 < 0 < 1 is an unknown parameter. That is,
Yn is a random sample of size n from Uniform(0, 20],
1
f(y)
if 0<y< 20.
20
(a) Show that the likelihood function is:
1
L(0) :
(20)- [19. 1] ).
m) ]
Y (n)
where I is the indicator function and y(n) is the largest order statistic.
Transcribed Image Text:|20 points] Suppose Y1,. where 0 < 0 < 1 is an unknown parameter. That is, Yn is a random sample of size n from Uniform(0, 20], 1 f(y) if 0<y< 20. 20 (a) Show that the likelihood function is: 1 L(0) : (20)- [19. 1] ). m) ] Y (n) where I is the indicator function and y(n) is the largest order statistic.
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