If we let a = µ in the first part of Theorem 4.10 on page 128, where
Question:
(a) Show that the rth derivative of MX µ(t) with respect to t at t = 0 gives the rth moment about the mean of X.
(b) Find such a generating function for moments about the mean of the binomial distribution, and verify that the second derivative at t = 0 is nθ(1 θ).
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Related Book For
John E Freunds Mathematical Statistics With Applications
ISBN: 9780134995373
8th Edition
Authors: Irwin Miller, Marylees Miller
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