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

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

Type
Short Communications
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, 9199.CrossRefGoogle Scholar