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math.ST2022★ 1 cited
A geometric framework for asymptotic inference of principal subspaces in PCA
Dimbihery Rabenoro, Xavier Pennec
In this article, we develop an asymptotic method for constructing confidence regions for the set of all linear subspaces arising from PCA, from which we derive hypothesis tests on…
math.ST2018
A conditional limit theorem for independent random variables
Dimbihery Rabenoro
In this paper, we prove a conditional limit theorem for independent not necessarily identically distributed random variables. Namely, we obtain the asymptotic distribution of a lar…
math.ST2017
Functional Erdős-Rényi laws for Lévy processes
Dimbihery Rabenoro
In this paper we establish functional Erdős-Renyi laws for Lévy processes, i.e. limit theorems for sets of functions on [0,1] associated to their increments. First, we determine pr…