On a probability problem arising in the theory of counters-Reference-Cited by-同舟云学术

On a probability problem arising in the theory of counters

Published:1956-07 Issue:3 Volume:52 Page:488-498
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Takács L.

Abstract

ABSTRACTThe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference23 articles.

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3. Probability fluctuation of discharges in a Geiger-Müller counter produced by cosmic radiation;Levert;Physica, 's Grav,1943

4. Sur la théorie stochastique des compteurs;Pollaczek;C.R. Acad. Sci,1954

5. On the frequency distribution of the Geiger-Müller counter in a constant interval;Kosten;Physica, 's Grav,1940

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