et X1,..., Xn be a random sample from a uniform distribution on the interval [20,0], where < 0. The pdf of X1 is given by if 20 < x < 0, 20 f(x|0) if x < 20 or x > 0. et X(1) < X(2) <.< X(n) be the order statistics of X1,..., Xn-

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X(1)
(a) Show that the Maximum Likelihood Estimator (MLE) of 0 is 0 = .
Transcribed Image Text:X(1) (a) Show that the Maximum Likelihood Estimator (MLE) of 0 is 0 = .
Let X1,..., Xn be a random sample from a uniform distribution on the interval [20, 0], where
0 < 0. The pdf of X1 is given by
1
20
{
if 20 < x < 0,
f(x|0) =
if x < 20 or x > 0.
Let X(1) < X(2) <...< X(n) be the order statistics of X1, ..., Xn.
Transcribed Image Text:Let X1,..., Xn be a random sample from a uniform distribution on the interval [20, 0], where 0 < 0. The pdf of X1 is given by 1 20 { if 20 < x < 0, f(x|0) = if x < 20 or x > 0. Let X(1) < X(2) <...< X(n) be the order statistics of X1, ..., Xn.
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