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Let X1, . . . ,Xn be i.i.d r.v. with the p.d.f. iexpxG t9, x>6, MW: 92 (( 0/2) 1 0, otherwise, where 61 E

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Let X1, . . . ,Xn be i.i.d r.v. with the p.d.f. iexpxG t9, x>6, \"MW: 92 (( 0/2) 1 0, otherwise, where 61 E R, 62 > 0 are unknown parameters. (a) (2 points) Check whether this p.d.f. is in either a location family or a scale family or a locationscale family (for 61 E R, 62 > 0)? (b) (2 points) Construct two examples of ancillary statistics for this model. (c) (2 points) Using that T := (X,X(1)) (where X0) = min X22, X = \"1 2T1 ) is a 1951a \"=1 complete and suicient statistic for this model, check whether each of the statistics Yl := and 1'2 1: (X2 X3)/2 is independent from T

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