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Estimation of the dead time period and parameters of an asynchronous alternative flow of events with unextendable dead time period

  • Mathematical Processing of Physics Experimental Data
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Abstract

A problem of estimating the parameters of an asynchronous alternative flow of events with initiation of a superfluous event being a mathematical model of information flows of queries circulating in integrated service digital networks as well as a mathematical model of fluxes of elementary particles (photons, electrons, etc.) arriving at the recording equipment is considered. The conditions of flow observation are such that each registered event generates a dead time period during which other flow events are unobservable. The case of unextendable dead time period is investigated. The probability density of interarrival time in the flow under observation is found. The parameters of the initial asynchronous alternative flow with initiation of a superfluous event and a dead time period are estimated by the method of moments. Results of a statistical experiment realized for an imitational model are presented. They demonstrate fairly good properties of the estimates obtained.

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Authors and Affiliations

  1. Tomsk State University, Russia

    A. M. Gortsev & O. V. Nissenbaum

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  1. A. M. Gortsev
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  2. O. V. Nissenbaum
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 35–49, October, 2005.

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Gortsev, A.M., Nissenbaum, O.V. Estimation of the dead time period and parameters of an asynchronous alternative flow of events with unextendable dead time period. Russ Phys J 48, 1039–1054 (2005). https://doi.org/10.1007/s11182-006-0023-y

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  • DOI: https://doi.org/10.1007/s11182-006-0023-y

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