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math.ST2012
Statistical inference in compound functional models
Arnak Dalalyan, Yuri Ingster, Alexandre Tsybakov
We consider a general nonparametric regression model called the compound model. It includes, as special cases, sparse additive regression and nonparametric (or linear) regression w…
math.ST2012
Minimax testing of a composite null hypothesis defined via a quadratic functional in the model of regression
Laëtitia Comminges, Arnak Dalalyan
We consider the problem of testing a particular type of composite null hypothesis under a nonparametric multivariate regression model. For a given quadratic functional , the nul…