?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fpublications.ut-capitole.fr%2Fid%2Feprint%2F25891%2F&rft.title=Cytometry+inference+through+adaptive+atomic+deconvolution&rft.creator=Costa%2C+Manon&rft.creator=Gadat%2C+S%C3%A9bastien&rft.creator=Gonnord%2C+Pauline&rft.creator=Risser%2C+Laurent&rft.subject=B-+ECONOMIE+ET+FINANCE&rft.description=In+this+paper+we+consider+a+statistical+estimation+problem+known+as+atomic+deconvolution.+Introduced+in+reliability%2C+this+model+has+a+direct+application+when+considering+biological+data+produced+by+flow+cytometers.+In+these+experiments%2C+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%2C+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+adaptive+estimation+procedure+based+on+a+previous+deconvolution+procedure+introduced+by+%5BvEGS08%2C+GvES11%5D.+For+both+estimating+the+mixing+parameter+and+the+mixing+density+automatically%2C+we+use+the+Lepskii+method+based+on+the+optimal+choice+of+a+bandwidth+using+a+bias-variance+decomposition.+We+then+derive+some+concentration+inequalities+for+our+estimators+and+obtain+the+convergence+rates%2C+that+are+shown+to+be+minimax+optimal+(up+to+some+log+terms)+in+Sobolev+classes.+Finally%2C+we+apply+our+algorithm+on+simulated+and+real+biological+data.&rft.publisher=TSE+Working+Paper&rft.date=2018-03&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=https%3A%2F%2Fpublications.ut-capitole.fr%2Fid%2Feprint%2F25891%2F1%2Fwp_tse_905.pdf&rft.identifier=++Costa%2C+Manon%2C+Gadat%2C+S%C3%A9bastien+%3Chttps%3A%2F%2Fwww.idref.fr%2F080889433%3E%2C+Gonnord%2C+Pauline+and+Risser%2C+Laurent++(2018)+Cytometry+inference+through+adaptive+atomic+deconvolution.++TSE+Working+Paper%2C+n.+18-905%2C+Toulouse+++++&rft.relation=http%3A%2F%2Ftse-fr.eu%2Fpub%2F32575&rft.language=en