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Two inverse problems concerning the superposition of recurrent point processes

Published online by Cambridge University Press:  14 July 2016

R. V. Ambartzumian
R. V. Ambartzumian*
Affiliation:
Institute of Mathematics and Mechanics, Erevan, Armenia, U.S.S.R.
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Extract

Suppose that we observe an infinite realisation of a point process Π, which is a superposition of a number of mutually independent recurrent point processes Πi , such that

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 2 , Issue 2 , December 1965 , pp. 449 - 454
Copyright
Copyright © Applied Probability Trust 

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References

[1] Ambartzumian, R. V. (1964) Serving the superposition of a Palm and Poisson process (to appear).Google Scholar
[2] Cox, D. R. and Smith, Walter L. (1954) On the superposition of renewal processes. Biometrika 41, 91–99.CrossRefGoogle Scholar