ArticleOriginal scientific text

Title

Two mutually rarefied renewal processes

Authors 1

Affiliations

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

Abstract

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.

Keywords

rarefied renewal process, Markov chain

Bibliography

  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.
Pages:
267-273
Main language of publication
English
Received
1993-02-10
Published
1994
Exact and natural sciences