Abstract
We consider a process X(A) indexed by some sets A∈A, where A is a collection of sets. We prove a functional form of the Erdös-Rényi laws. The result may be specialized to get back and sometimes improve previous versions of the classical Erdös-Rényi laws.
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Proceedings of the XVII Seminar on Stability Problems for Stochastic Models, Kazan, Russia, 1995, Part II.
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Barbe, P., Broniatowski, M. Functional Erdös-Rényi laws for processes indexed by sets. J Math Sci 83, 356–359 (1997). https://doi.org/10.1007/BF02400919
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DOI: https://doi.org/10.1007/BF02400919