A binomial-type operator on a stationary Gaussian process is introduced in
order to model long memory in the spatial context. Consistent estimators of
model parameters are demonstrated. In particular, it is shown that
$\hat{d}_N-d=O_P(\frac{(\operatorname {Log}N)^3}{N})$, where $d=(d_1,d_2)$
denotes the long memory parameter.Comment: Published at http://dx.doi.org/10.1214/009053605000000589 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
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