Analyses of Processes on a Lattice

Abstract

In Whittle’s pioneering 1954 paper, he discussed the numerical fitting of models like (5) of §2.1, viz

$${X_{rs}} = {\beta _1}\left( {{X_{r - 1,s}} + {X_{r + 1,s}}} \right) + {\beta _2}\left( {{X_{r,s - 1}} + {X_{r,s + 1}}} \right) + {Y_{rs}},$$

(1)

where the Y_rs are assumed independent (and with zero mean), to the classical Mercer and Hall uniformity trial on wheat.