Experimental investigation of statistical models describing distribution of counts

Salma, Imre; Zemplén-Papp, É.

doi:10.1016/0168-9002(92)90209-m

Cited by 7 publications

(3 citation statements)

References 11 publications

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“…The electron emission is then inhomogeneous Poisson process and the variation of the expected number of initiating electrons k λ with time t can be described by k λ = ke ±λt (where λ is the increase/decrease rate and k is the expected value of initiating electrons in the stationary case), as in refs. [27][28][29]. When the time variations are slow, it can be approximated by which is analogous to the electron yield variation in ref.…”

Section: Electron Avalanche Number Distributions When the Electron Em...mentioning

confidence: 99%

“…where the distribution weighting factors Besides that, this model can describe the electron number distributions for electron avalanches initiated by short lived radionuclides [27][28][29]32]. Also, it can be applied to electron avalanches in accelerated aging tests [26] and with aging effects correlated to construction materials, surface processes, operational gas gain, gas mixtures and flow rates, gas impurities, etc.…”

Section: Electron Avalanche Number Distributions When the Electron Em...mentioning

confidence: 99%

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Electron avalanche statistics for multielectron initiation with homogeneous and inhomogeneous Poisson emission

Marković¹,

Stamenković²,

Jovanović³

2019

J. Inst.

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The electron avalanche statistics for a single and multielectron initiation and a fixed number of initiating electrons is successfully described by a geometric and a single negative binomial distribution (NBD). However, the number of initiating electrons may have a statistical distribution, either stationary or variable with time. When the emission of initiating electrons is a homogeneous (stationary) and an inhomogeneous (non-stationary) Poisson process, the weighted mixtures of NBDs for electron avalanche statistics are applied and discussed. The proposed statistical model is tested by the means of Monte Carlo simulation of avalanche size distributions when the initial electrons obey Poisson distribution and a good agreement is found. K: Charge transport and multiplication in gas; Detector modelling and simulations II (electric fields, charge transport, multiplication and induction, pulse formation, electron emission, etc); Analysis and statistical methods; Gaseous detectors 1Corresponding author.

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Section: Electron Avalanche Number Distributions When the Electron Em...mentioning

confidence: 99%

Section: Electron Avalanche Number Distributions When the Electron Em...mentioning

confidence: 99%

Electron avalanche statistics for multielectron initiation with homogeneous and inhomogeneous Poisson emission

Marković¹,

Stamenković²,

Jovanović³

2019

J. Inst.

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“…Equations ( 28) and ( 29) are generalizations of equations (11) and (10), respectively. Together with equation ( 25) they reproduce the statistics of a 30% spectral fraction seen in figure 4.…”

Section: Dispersion With Pileup and Edtmentioning

confidence: 99%

Uncertainty of nuclear counting

2015

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Nuclear counting is affected by pulse pileup and system dead time, which induce raterelated count loss and alter the statistical properties of the counting process. Fundamental equations are presented to predict deviations from Poisson statistics due to non-random count loss in nuclear counters and spectrometers. Throughput and dispersion of counts are studied for systems with pileup, extending and non-extending dead time, before and also after compensation for count loss. Equations are provided for random fractions of the output events, applicable to spectrometry applications. Methods for loss compensation are discussed, including inversion of the throughput equation, live-time counting and loss-free counting. Secondary effects in live-time counting are addressed: residual interference from pileup in systems with imposed dead times and errors due to varying count rate when measuring shortlived radionuclides.

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Activation analysis with neutron generators using short-lived radionuclides

Salma

Zemplén-Papp

1993

Nuclear Instruments and Methods in Physics Research Section B:

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Experimental investigation of statistical models describing distribution of counts

Cited by 7 publications

References 11 publications

Electron avalanche statistics for multielectron initiation with homogeneous and inhomogeneous Poisson emission

Electron avalanche statistics for multielectron initiation with homogeneous and inhomogeneous Poisson emission

Uncertainty of nuclear counting

Activation analysis with neutron generators using short-lived radionuclides

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