Suppose X1 and X2 are iid observations from the pdf f(x]a) = ax°-le-",x > 0, a > 0. Show that (log X1)/(log X2) is an ancillary statistic.

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EXCERSICE 2
Suppose X1 and X2 are iid observations from the pdf f(x|a) = ax-'e
0. Show that (log X1)/(log X2) is an ancillary statistic.
x>0, a>
-1,
Dr. Asieh Abtahi - Faculty of Mathematics and Statistics
Islamic Azad University of Shiraz - Iran
12
Transcribed Image Text:EXCERSICE 2 Suppose X1 and X2 are iid observations from the pdf f(x|a) = ax-'e 0. Show that (log X1)/(log X2) is an ancillary statistic. x>0, a> -1, Dr. Asieh Abtahi - Faculty of Mathematics and Statistics Islamic Azad University of Shiraz - Iran 12
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