On a modified counter with prolonging dead time
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Published:1985-09
Issue:3
Volume:22
Page:678-687
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ISSN:0021-9002
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Container-title:Journal of Applied Probability
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language:en
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Short-container-title:Journal of Applied Probability
Author:
Dvurečenskij A.,Ososkov G. A.
Abstract
Emitted particles arrive at the counter with prolonging dead time so that the interarrival times and the lengths of impulses in any dead time are independent but not necessarily identically distributed random variables, and whenever the counter is idle then the following evolution starts from the beginning. For this class of counters we derive the probability laws of the numbers of particles arriving at the counters during their dead times, and the Laplace transform of the cycle, respectively.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference11 articles.
1. On a problem of the busy-period determination in queues with infinitely many servers
2. Note on a type II counter problem;Dvurecenskij;Apl. Mat.,1984
3. Renewal theory and its ramifications;Smith;J. R. Statist. Soc.,1958