Question: SOLUTION Suppose X = (X, - Xn) 3 x3 For observations X , - - Xn the sufficient shaki is given by the function and

SOLUTION Suppose X = (X, - Xn) 3 x3 For observations X , - - Xn the sufficient shaki is given by the function and does not depend on the Value parameter e Thus by law of fatal probability I T ( x ) = T( x3 POST ( x ) = T (x ) We use fisher factorization theorem f (x / D ) = hag) (o, 7 ( x ) ) = 3x3 6 3 F. ( x / 6 ) - 5 3 X 3 6 3 F 0 6 The Numerator 6 turewise the denominator there fore ,is Sufficient since itQuestion Four b) [2 marks] Show that the sufficient statistic in part (a) is also minimal sufficient using the Lehmann and Scheffe's Method for Finding a Minimal Sufficient Statistic

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