Estimation of Unextendable Dead Time Duration in a Flow of Physical Events by the Method of Moments

We study a synchronous generalized doubly stochastic flow of the second order with unextendable dead time of fixed duration, which is an adequate mathematical model of a flow of physical events (photons, electrons, and other elementary particles). An estimation of the duration of the unobservability...

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Bibliographic Details
Published inRussian physics journal Vol. 62; no. 9; pp. 1641 - 1648
Main Authors Nezhel’skaya, L. A., Sidorova, E. F.
Format Journal Article
LanguageEnglish
Published New York Springer US 2020
Springer
Springer Nature B.V
Subjects
Analysis
Computer simulation
Condensed Matter Physics
Distribution (Probability theory)
Elementary particles
Generalized method of moments
Hadrons
Heavy Ions
Lasers
Mathematical and Computational Physics
Mathematical models
Mathematical Processing of Physics Experimental Data
Method of moments
Methods
Nuclear Physics
Optical Devices
Optics
Particles (Nuclear physics)
Photonics
Physics
Physics and Astronomy
Theoretical
recurrent synchronous generalized doubly stochastic flow of the second order
recurrence condition
joint probability density
MM-estimate
unextendable dead time
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Summary:We study a synchronous generalized doubly stochastic flow of the second order with unextendable dead time of fixed duration, which is an adequate mathematical model of a flow of physical events (photons, electrons, and other elementary particles). An estimation of the duration of the unobservability period is found by the method of moments (MM-estimate) on the basis of observations of the investigated flow under recurrence condition formulated in terms of the joint probability density of durations of intervals between the moments of event occurrence. A numerical study of the estimation quality is carried out by applying a simulation modeling apparatus.
ISSN:1064-8887
1573-9228
DOI:10.1007/s11182-020-01886-y