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2. Let X.... , X, N(0,%) be independent, where a > 0 is unknown. (1) Is 52:= -- .(X- X) sufficient? If yes, is it minimum suf
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Answerin Given that :- X. , X2 .--. Xn on (0,11%) be independen Where o 2o xi jelm (012) F (oci ,2)=(1 6+ (9-4); xiche T21 ;= (+) (11) 2 -x: 2 21 468.-) (zu)* -expl-t siit) Comedy (64 cxp (- + szin) Exi2 gis,a2) 22 97 9 IC N 2 The above taken is noFath e zit xi? (27)? f (31182-181,962)29(,0) Fi (1,842-06) where, g (1,6%)= 6 e -Exi? h(xv X3 ... &n): 1. By Neymons facteripage 6 sufficient @ If I (8) is any other statistics than (x): Ily) = M(&) - MCY) Thus munimail sufficient statistics m(x) vipage @ we know x = Exi is minimum suficient n- Slatistics and st (Hi-7] roxon ancillary statistics. They - he and as ancillar

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