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Cytometry inference through adaptive atomic deconvolution. (arXiv:1710.04023v1 [math.ST])
来源于:arXiv
In this paper we consider a statistical estimation problem known as atomic
deconvolution. Introduced in reliability, this model has a direct application
when considering biological data produced by flow cytometers. In these
experiments, biologists measure the fluorescence emission of treated cells and
compare them with their natural emission to study the presence of specific
molecules on the cells' surface. They observe a signal which is composed of a
noise (the natural fluorescence) plus some additional signal related to the
quantity of molecule present on the surface if any. From a statistical point of
view, we aim at inferring the percentage of cells expressing the selected
molecule and the probability distribution function associated with its
fluorescence emission. We propose here an adap-tive estimation procedure based
on a previous deconvolution procedure introduced by [vEGS08, GvES11]. For both
estimating the mixing parameter and the mixing density automatically, we use
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