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Article Dans Une Revue Electronic Journal of Statistics Année : 2014

Donsker and Glivenko-Cantelli theorems for a class of processes generalizing the empirical process

Résumé

We establish a Glivenko-Cantelli and a Donsker theorem for a class of random discrete measures which generalize the empirical measure, under conditions on uniform entropy numbers that are common in empirical processes theory. Some illustrative applications in nonparametric Bayesian theory and randomly sized sampling are provided.
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Dates et versions

hal-01158050 , version 1 (31-08-2016)

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  • HAL Id : hal-01158050 , version 1

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Davit Varron. Donsker and Glivenko-Cantelli theorems for a class of processes generalizing the empirical process. Electronic Journal of Statistics , 2014, pp.2301-2325. ⟨hal-01158050⟩
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