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On a probability problem arising in the theory of counters

Published online by Cambridge University Press:  24 October 2008

L. Takács
L. Takács
Affiliation:
Institute for Applied MathematicsHungarian Academy of SciencesBudapest, Hungary
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Abstract

The paper contains some remarks on the problems treated by Hammersley(9). With the aid of a new and simple method the exact solutions of Hammersley's problems and the asymptotic behaviour of the solutions are found. The problems in question are: A Poisson process is transformed into a new process by a Type II counter, and this new process is transformed again by a Type I counter. The distribution of the number of events occurring in each transformed sequence is to be determined.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 52 , Issue 3 , July 1956 , pp. 488 - 498
Copyright
Copyright © Cambridge Philosophical Society 1956

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References

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