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On a characteristic property of stationary streams without aftereffect

Published online by Cambridge University Press:  14 July 2016

D. Mejzler
D. Mejzler*
Affiliation:
The Hebrew University of Jerusalem
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Extract

Let us consider a stream of homogeneous random events which we call signals and let us denote by the probability that exactly k signals will appear in the time interval . We assume that the stream is not empty, i.e. the probability P0(a, t) is not identically equal to 1.

Type
Short Communications
Information
Journal of Applied Probability , Volume 2 , Issue 2 , December 1965 , pp. 455 - 461
Copyright
Copyright © Applied Probability Trust 

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References

[1] Gnedenko, B. V. (1962) The Theory of Probability. Chelsea Publishing Company, New York.Google Scholar
[2] Khintchine, A. Ya. (1960) Mathematical Methods in the Theory of Queueing. Charles Griffin, London.Google Scholar
[3] Khintchine, A. Ya. (1957) Sequences of chance events without aftereffects. Theor. Probability Appl. 1, 1–15.CrossRefGoogle Scholar
[4] Redheffer, R. M. (1953) A note on the Poisson law. Math. Mag. 26, 185–188.CrossRefGoogle Scholar