Show that any polynomial expression in X 1 ,,X p , say can be expressed as a homogeneous polynomial in X 0 ,X 1 ,,X p Q4 p ijkl 0 bijklX iX jX kX l 4 , where X 0 1 Give expressions for the coefficients b in terms of the as Find E(Q4) and var(Q4) and express the results in terms of the as ...

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Show that any polynomial expression in X 1 ,,X p , say can be expressed as a

Question:

Show that any polynomial expression in X 1

,…,X p

, say can be expressed as a homogeneous polynomial in X 0

,X 1

,…,X p

Q4 =

∑

ijkl=0 bijklX iX jX kX l/4!, where X 0 = 1. Give expressions for the coefficients b in terms of the as. Find E(Q4) and var(Q4) and express the results in terms of the as.

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Tensor Methods In Statistics Monographs On Statistics And Applied Probability

ISBN: 9781315898018

1st Edition

Authors: Peter McCullagh

Question Posted: Aug 17, 2024 07:01 AM

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Show that any polynomial expression in X 1 ,,X p , say can be expressed as a

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Tensor Methods In Statistics Monographs On Statistics And Applied Probability

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