Weak convergence of some randomly indexed empirical processes

• Autorzy: Beghin L.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we shall be concerned with weak convergence of the randomly indexed versions of the standard and “independence” empirical processes, in the general framework of stochastic processes indexed by classes of functions and without any distributional assumption. We obtain, in the limit, some generalizations of well-known Gaussian fields such that those arising with a deterministic index are embedded as a special case.

Słowa kluczowe

EN

Kac empirical process; random sample size; generalized P-Brownian fields; Donsker classes; independence empirical process

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2002
• Tom: Vol. 22, Fasc. 2
• Strony: 333--342
• Opis fizyczny: Biblogr. 14 poz.

Twórcy

autor

Beghin L.

• Dipartimento di Statistica, Probabilità e Statistiche Applicate, Università di Roma “La Sapienza”, Piazzale Aldo Moro 5, 00185 Roma (Italy)

Bibliografia

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