Abstract:
This paper deals with the linear extrapolation problem for a random homogeneous field $u(t,x)$ satisfying the equation ${{\partial ^2 u}/{\partial t^2}}={{a^2\partial^2 u}/{\partial x^2}}$. Assuming that the field is known in the region $-c\leq x\leq c,t\leq -{c/a}$, best linear extrapolation formulas and mean square errors are given for any value $u(t,x)$ outside of this region.
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