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Zone of Influence

In a transition phenomenon, any data value $z({/boma x})$ will be correlated with any other value falling within a radius $a$ of ${/boma x}$. This correlation and, hence, the influence of one value on the other will decrease as the distance between the two points increases. Thus, the range corresponds to the intuitive idea of a zone of influence of a random function: beyond the distance $/vert{/boma h}/vert = a$, the random variables $Z({/boma x})$ and $Z({/boma x}+{/boma h})$ are no longer correlated.



Rudolf Dutter 2003-03-13