content_image/327308.jpg content_image/327307.jpg
ments of the matrix A − $^{1}$. Then the polynomial P ¯ $_{θ}$( θ ) becomes 

<img src='content_image/327308.jpg'>

where the coefficients ¯ P ( i$_{1}$, ..., i$_{p}$, ¯ θ, A ) = ∑ i ′ $_{1}$+ ... + i ′ $_{p}$= k i$_{v}$ ≤ i ′ v ¯ A$_{i}$ ′ $_{1}$,...,i ′ $_{p}$( i$_{1}$, ..., i$_{p}$, A ) ¯ P ( i $^{′}$$_{1}$, ..., i′ $_{p}$, ¯ θ ) . 

For estimator ˆ θ$_{T}$ of ¯ θ define estimators of the coefficients ¯ P ( i$_{1}$, ..., i$_{k}$, ¯ θ ) by 

<img src='content_image/327307.jpg'>

for 0 

If A = I, no further estimation is required. 

For A = V − 1 2 and an estimator ˆ V$_{T}$ of V estimate ¯ A$_{i}$ ′ $_{1}$,...,i ′ $_{p}$( i$_{1}$, ..., i$_{p}$, V − 1 2 ) by ˆ A$_{i}$ ′ $_{1}$,...,i ′ $_{p}$( i$_{1}$, ..., i$_{p}$, V − 1 2 ) = ¯ A$_{i}$ ′ $_{1}$,...,i ′ $_{p}$( i$_{1}$, ..., i$_{p}$, ˆ V − 1 2 T ) . 

Combining according to (29) we can obtain the estimator ˆ P ( i$_{1}$, ..., i$_{p}$, ¯ θ, A ) of ¯ P ( i$_{1}$, ..., i$_{p}$, ¯ θ, A ) . 

