6.16 Let X1,...,Xn be iid according to a distribution from a family P. Show that T is...

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6.16 Let X1,...,Xn be iid according to a distribution from a family P. Show that T is minimal sufficient in the following cases:

(a) P = {U(0, θ),θ > 0}; T = X(n).

(b) P = {U(θ1, θ2), −∞ < θ1 < θ2 < ∞}; T = (X(1), X(n)).

(c) P = {U(θ − 1/2, θ + 1/2), −∞ <θ< ∞}; T = (X(1), X(n)).

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Theory Of Point Estimation

ISBN: 9780387985022

2nd Edition

Authors: Erich L. Lehmann, George Casella

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