By showing (a) through (f), prove Use the fact that the moment of U 2 m
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By showing (a) through (f), prove
Use the fact that the moment of U ∼ χ2 m is
without proving it.
(d) If we regard as a polynomial of degree m, the sum of the terms of degree n is zero. Hint: Use (c).
(e) The sum of the terms of degree n−1 is zero. Hint: Derive that the coefficient of degree n − 1 is 2{1 + 2 +···+ (j − 1)} = j (j − 1) for each j and that
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