Show that the log of the likelihood function for estimating a2, based on observing S2 ~ Ï2x2v/v,

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Show that the log of the likelihood function for estimating a2, based on observing S2 ~ σ2x2v/v, can be written in the form
log L(a*) = K- K, log K2 log + K3, %3D

where K1, K2, and K3 are constants, not dependent on σ2. Relate the above log likelihood to the loss function discussed in Example 7.3.27. See Anderson (1984a) for a discussion of this relationship.

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Statistical Inference

ISBN: 978-0534243128

2nd edition

Authors: George Casella, Roger L. Berger

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