Note on type II counter problem

Anatolij Dvurečenskij; Genadij A. Ososkov

Aplikace matematiky (1984)

  • Volume: 29, Issue: 4, page 237-249
  • ISSN: 0862-7940

Abstract

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In the paper the authors investigate the explicit form of the joint Laplace transform of the distances between two subsequent moments f particle registrations by the Type II counter (the counter with prolonged dead time), in the general case, and the generating function of the number of particles arriving during the dead time. They give explicit solutions to the complicated integral equations obtained by L. Takács and R. Pyke, respectively. Moreover, they study the geometric behaviour of the distribution of the latter above mentioned random variable, and make some remarks on the Type II counter and the case of registration of m types of particles.

How to cite

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Dvurečenskij, Anatolij, and Ososkov, Genadij A.. "Note on type II counter problem." Aplikace matematiky 29.4 (1984): 237-249. <http://eudml.org/doc/15354>.

@article{Dvurečenskij1984,
abstract = {In the paper the authors investigate the explicit form of the joint Laplace transform of the distances between two subsequent moments f particle registrations by the Type II counter (the counter with prolonged dead time), in the general case, and the generating function of the number of particles arriving during the dead time. They give explicit solutions to the complicated integral equations obtained by L. Takács and R. Pyke, respectively. Moreover, they study the geometric behaviour of the distribution of the latter above mentioned random variable, and make some remarks on the Type II counter and the case of registration of $m$ types of particles.},
author = {Dvurečenskij, Anatolij, Ososkov, Genadij A.},
journal = {Aplikace matematiky},
keywords = {counter theory; Laplace transform; generating function; dead time; counter theory; Laplace transform; generating function; dead time},
language = {eng},
number = {4},
pages = {237-249},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Note on type II counter problem},
url = {http://eudml.org/doc/15354},
volume = {29},
year = {1984},
}

TY - JOUR
AU - Dvurečenskij, Anatolij
AU - Ososkov, Genadij A.
TI - Note on type II counter problem
JO - Aplikace matematiky
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 29
IS - 4
SP - 237
EP - 249
AB - In the paper the authors investigate the explicit form of the joint Laplace transform of the distances between two subsequent moments f particle registrations by the Type II counter (the counter with prolonged dead time), in the general case, and the generating function of the number of particles arriving during the dead time. They give explicit solutions to the complicated integral equations obtained by L. Takács and R. Pyke, respectively. Moreover, they study the geometric behaviour of the distribution of the latter above mentioned random variable, and make some remarks on the Type II counter and the case of registration of $m$ types of particles.
LA - eng
KW - counter theory; Laplace transform; generating function; dead time; counter theory; Laplace transform; generating function; dead time
UR - http://eudml.org/doc/15354
ER -

References

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