Hit-or-Miss Dependence of Random Closed Sets
نویسندگان
چکیده
The notion of hit-or-miss dependence is introduced to describe spatial dependence of random closed sets, and its closure properties under various set operations are derived. The hit-or-miss dependence is then applied to Boolean germ-grain models to study local interactions within each grain. The dependence comparison results obtained not only show how local interactions of Boolean germ-grain models would affect system performance, but also yield various bounds for spatial reliability indexes, which can be calculated explicitly.
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