Geodesic
The weak convergence of step processes in the space of closed sets
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 122-129

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The paper contains investigations of sequences of random step function graphs considered as random sets on a plane. Some results inaccessible for the classical approach are obtained. The description of the class of limit distributions is also given. 
@article{ZNSL_1983_130_a11,
     author = {N. N. Ljashenko},
     title = {The weak convergence of step processes in the space of closed sets},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {122--129},
     publisher = {mathdoc},
     volume = {130},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a11/}
}
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N. N. Ljashenko. The weak convergence of step processes in the space of closed sets. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 122-129. http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a11/