Question: 6.30 Let X1, . .., Xn be a random sample from the pdf f(r|) = e-(-), where -0o - (z), where 00 < < ,

- (z), where 00 < < , Xn be a random sample
from the pdf f(zl) = e 6.30 t Xi,... c < 00.

6.30 Let X1, . .., Xn be a random sample from the pdf f(r|) = e-(-"), where -0o

- (z), where 00 < < , Xn be a random sample from the pdf f(zl) = e 6.30 t Xi,... c < 00. (a) Show that X(i) = mim Xi is a complete suffcient statistic. (b) Use Basu's Theorem to show that X(l) and S2 are independent.

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