Suppose that the vectors (X1, Y1), (X2, Y2), . . . , (Xn,
Chapter 7, Problem 5(choose chapter or problem)
Suppose that the vectors (X1, Y1), (X2, Y2), . . . , (Xn, Yn) form a random sample of two-dimensional vectors from a bivariate normal distribution for which the means, the variances, and the correlation are unknown. Show that the following five statistics are jointly sufficient: n i=1 Xi, n i=1 Yi, n i=1 X2 i , n i=1 Y 2 i , a
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