Unformatted text preview: T = T ( X 1 ,...,X n ) is suﬃcient for θ if the conditional distribution of X 1 ,...,X n given T = t does not depend on θ . Suppose that X 1 ,X 2 are independent Pois ( θ ) observations. Use the deﬁnition to show that T = X 1 + X 2 is suﬃcient for θ . Does the conditional distribution look familiar? 6. (Graduate only) Problem 6.4.4 on page 350. (Two things to note: ﬁrst, you’re given the CDF not the PDF; second, the support depends on θ 1 .) 1...
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This note was uploaded on 03/12/2012 for the course STAT 411 taught by Professor Staff during the Spring '08 term at Ill. Chicago.
- Spring '08
- Normal Distribution