Two mutually rarefied renewal processes

• Autorzy: Ilona Kopocińska
• Języki publikacji: EN

Abstrakty

EN

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 sequences 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.

Słowa kluczowe

EN

rarefied renewal process; Markov chain

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1993-1995
• Tom: 22
• Numer: 2
• Strony: 267-273

Daty

wydano

1994

otrzymano

1993-02-10

Twórcy

autor

Ilona Kopocińska

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliografia

• [1] I. Kopocińska and B. Kopociński, On coincidences in renewal streams, Zastos. Mat. 19 (1987), 169-180.
• [2] A. Rényi, A characterization of the Poisson process, MTA Mat. Kut. Int. Kőzl. 1 (1956), 519-527.