2015
DOI: 10.1039/c4ja00319e
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The ICPMS signal as a Poisson process: a review of basic concepts

Abstract: Understanding the structure of noise associated with a measurement process is interesting theoretically and has practical applications related to the quantification of detection capability, signal uncertainty and dead time. Here, we present and analyse arguments explaining the appearance of the Poisson process in the distribution of count numbers in inductively coupled plasma mass spectrometry (ICPMS) signals. We consider the Poisson distribution as a special case of the binomial distribution constrained by in… Show more

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Cited by 22 publications
(19 citation statements)
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References 114 publications
(263 reference statements)
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“…Phansalkar adapted the Sauvola method to identify low contrast and high contrast positive cells 29 . The large variance in Poisson flicker noise from the ICP-MS 46 results in pixels which will be incorrectly identified as positive signal. This was observed in Supplementary Fig.…”
Section: Discussionmentioning
confidence: 99%
“…Phansalkar adapted the Sauvola method to identify low contrast and high contrast positive cells 29 . The large variance in Poisson flicker noise from the ICP-MS 46 results in pixels which will be incorrectly identified as positive signal. This was observed in Supplementary Fig.…”
Section: Discussionmentioning
confidence: 99%
“…These technologies each detect a random fraction of the total molecular content of every individual cell. This relationship between the measurement signal and cellular analyte abundance has been frequently modeled by a binomial distribution Bi ( X , p ) whose success probability p corresponds to the capture efficiency for the analyte present at amount X [42, 43]. We have devised an estimator to subtract the misleading measurement noise component to provide the reactionet lasso with the appropriate noise-correct empirical moment estimates for structure learning.…”
Section: Methodsmentioning
confidence: 99%
“…We assume that the capture efficiency p of the single cell instrument is known [42, 43] and estimates the empirical moments of X on the basis of the empirical moments of X obs by solving the above equations for the respective moment of X . The resulting moment estimates are then used in the regression procedure described above to perform structure learning.…”
Section: Methodsmentioning
confidence: 99%
“…Potential sources of overdispersion for LA‐ICPMS measurements are discussed in more detail in Ulianov et al . [].…”
Section: Principles Of La‐icpms Data Handlingmentioning
confidence: 99%
“…The solution used in the fission track [Galbraith, 2005] and (U-Th)/He [Vermeesch, 2010] communities is to include an extra source of uncertainty called an overdispersion, a variance term added to each measurement to account for the excess scatter in the data. Potential sources of overdispersion for LA-ICPMS measurements are discussed in more detail in Ulianov et al [2015].…”
Section: Weighted Least Squares and Overdispersionmentioning
confidence: 99%