Abstract
Abstract : In the study of probabilities on geometrical objects, there have been some recent attempts to formulate general theories of random sets, notably by Kendall and Matheron. It is the purpose here to make a contribution in this direction by demonstrating the existence of a strong law of large numbers for random sets taking values in the class of compact subsets of (R sup n). The result is proved first under the assumption of convexity and then extended to the general case.
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