Limit Behaviour of Sequential Empirical Measure Processes

Omar El-Dakkak (1)

1 LSTA - Laboratoire de Statistique Théorique et Appliquée

In this paper, we obtain some uniform laws of large numbers and functional central limit theorems for sequential empirical measure processes indexed by classes of product functions satisfying appropriate Vapnik-Chervonenkis properties.

Mots clés: Uniform Laws of Large Numbers; Functional Central Limit Theorems; Sequential Empirical Measure; Uniform Laws of Large Numbers.

Domaines: Probabilités [math.PR]; Théorie [stat.TH]

Omar El-Dakkak. Limit Behaviour of Sequential Empirical Measure Processes. 2008. ⟨hal-00335572⟩