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Two mutually rarefied renewal processes. (English) Zbl 0803.60087

Summary: Let us consider two independent renewal processes generated by appropriate sequences of life times. We say that a renewal time is accepted if in the time between a signal and the preceding one, some signal of the second process occurs. Our purpose is to analyze the sequence of accepted renewals. For simplicity we consider continuous and discrete time separately. In the first case we mainly consider the renewal process rarefied by the Poisson process, in the second we analyze the process generated by the motion of draughtsmen moved by die tossing.

MSC:

60K05 Renewal theory
60F05 Central limit and other weak theorems
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