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On a characterization of the Poisson process

Published online by Cambridge University Press:  14 July 2016

R. C. Srivastava
R. C. Srivastava*
Affiliation:
The Ohio State University, Columbus
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Extract

In a recent paper Rényi (1964) has obtained the following characterization of the Poisson process.

Type
Short Communications
Information
Journal of Applied Probability , Volume 8 , Issue 3 , September 1971 , pp. 615 - 616
Copyright
Copyright © Applied Probability Trust 1971 

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References

Moran, P. A. P. (1952) A characterization of the Poisson distribution. Proc. Camb. Phil. Soc. 48, 206–207.CrossRefGoogle Scholar
Renyi, A. (1964) On two mathematical models of traffic on a divided highway. J. Appl. Prob. 1, 311–320.CrossRefGoogle Scholar
Renyi, A. (1967) Remarks on the Poisson process. Symposium on Prob. Methods in Analysis. Springer-Verlag, Berlin, Heidelberg and New York, 280–286.CrossRefGoogle Scholar
Rao, C. R. and Rubin, H. (1964) On a characterization of the Poisson distribution. Sankhya A 26, 295–298.Google Scholar