X is a random variable with moments E(X), E(X2), E(X3), and so forth. (a) Show E(X -

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X is a random variable with moments E(X), E(X2), E(X3), and so forth.
(a) Show E(X - µ)3 = E(X3) - 3[E(X2)][E(X)] + 2[E(X)]3.
(b) Show E(X - µ)4 = E(X4) - 4[E(X)][E(X3)] + 6] E(X)]2[E(X2)] - 3[E(X)]4.
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Introduction to Econometrics

ISBN: 978-0133595420

3rd edition

Authors: James H. Stock, Mark W. Watson

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