# Two mutually rarefied renewal processes

Applicationes Mathematicae (1994)

- Volume: 22, Issue: 2, page 267-273
- ISSN: 1233-7234

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topKopocińska, Ilona. "Two mutually rarefied renewal processes." Applicationes Mathematicae 22.2 (1994): 267-273. <http://eudml.org/doc/219094>.

@article{Kopocińska1994,

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.},

author = {Kopocińska, Ilona},

journal = {Applicationes Mathematicae},

keywords = {rarefied renewal process; Markov chain; rarefield renewal process; independent renewal processes; sequence of accepted renewals},

language = {eng},

number = {2},

pages = {267-273},

title = {Two mutually rarefied renewal processes},

url = {http://eudml.org/doc/219094},

volume = {22},

year = {1994},

}

TY - JOUR

AU - Kopocińska, Ilona

TI - Two mutually rarefied renewal processes

JO - Applicationes Mathematicae

PY - 1994

VL - 22

IS - 2

SP - 267

EP - 273

AB - 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.

LA - eng

KW - rarefied renewal process; Markov chain; rarefield renewal process; independent renewal processes; sequence of accepted renewals

UR - http://eudml.org/doc/219094

ER -

## References

top- [1] I. Kopocińska and B. Kopociński, On coincidences in renewal streams, Zastos. Mat. 19 (1987), 169-180. Zbl0631.60085
- [2] A. Rényi, A characterization of the Poisson process, MTA Mat. Kut. Int. Kőzl. 1 (1956), 519-527. Zbl0103.11503

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