The studies of random geometrical objects can go back at least to the famous Buffon needle problem [1] . Then the theory of random sets first study in the book by Matheron [2] , who formulated the ...

Abstract: This paper studies linear set-dynamics driven by random convex compact sets (RCCSs), where the parameter matrix evolves according to an underlying Markovian random process taking values in a ...

An N-parameter Brownian sheet in ${\bf R}^{d}$ maps a non-random compact set F in ${\bf R}_{+}^{N}$ to the random compact set B(F) in ${\bf R}^{d}$ . We prove two results on the image-set B(F): (1) It ...

Abstract: Random compact testing uses random inputs to test digital circuits. Fault detection can be achieved by comparing some statistic of the circuit under test, e.g., the frequency of logic ones ...