f (x; 0) = e-(a-0) I10,00)(x). and let 00 be a fixed number in O = (-∞, ). Consider the one-sided test Ho : 0 < 0 versus H1 : 0 > 0. Show that the likelihood ratio test which rejects Ho if X(1) >K is a UMP Po=o(X(1) 2 K). level a test where a =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Exercise X1,., Xn is a random sample
Suppose
from a distribution with pdf
f (x; 0) = e-(²-0) I10,00)(x)
%3D
and let 60 be a fixed number in e
one-sided test Ho : 0 <0 versus H1 : 0 > 0. Show that the
likelihood ratio test which rejects Ho if X(1) 2 K is a UMP
= (-0, 0). Consider the
level a test where a =
Pg=o(X(1) 2 K).
Transcribed Image Text:Exercise X1,., Xn is a random sample Suppose from a distribution with pdf f (x; 0) = e-(²-0) I10,00)(x) %3D and let 60 be a fixed number in e one-sided test Ho : 0 <0 versus H1 : 0 > 0. Show that the likelihood ratio test which rejects Ho if X(1) 2 K is a UMP = (-0, 0). Consider the level a test where a = Pg=o(X(1) 2 K).
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