Suppose that Ai and i are the mean vector and covariance matrix for the ith of s

Suppose that Aiµˆ and Ωˆi are the mean vector and covariance matrix for the ith of s pedigrees evaluated at the maximum likelihood estimates. Under the multivariate normal model (8.1), show that s

i=1

(Y i − Aiµˆ)

t

Ωˆ −1 i (Y i − Aiµˆ) = s i=1 mi, where mi is the number of entries of the trait vector Y i [15]. Hint:

r k=1

σˆ2 k

∂

∂σ2 k

L(ˆγ)=0.