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Unformatted text preview: with mean and variance 2 . (a) Use Slutzkys theorem to show that n ( X ) 2 p 0 as n . (b) Use (a) to show that n ( S 2 n 2 ) D N (0 , 4 ) as n , where 4 = E( X 1 ) 4 4 . 3. Let X 1 , . . ., X n iid Beta( , 1) , > , i.e. their common pdF is f ( x ) = x 1 , x [0 , 1] . (a) Show that h = X 1X is a method oF moment estimator oF . (b) ind the large sample distribution oF n (  ) . (HINT: Use the method.)...
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This homework help was uploaded on 04/20/2008 for the course STATS 131C taught by Professor Polonik during the Spring '07 term at UC Davis.
 Spring '07
 Polonik
 Statistics

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