7. Let X, Y be independently normally distributed as N(8 ,1), and let V= Y- X and...

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7. Let X, Y be independently normally distributed as N(8 ,1), and let V= Y- X and W = { Y - X if X + Y > 0, X - Y if X + Ys O. (i) Both V and W are ancillary, but neither is a function of the other. (ii) (V, W) is not ancillary. [Basu (1959).) [10.5

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