Título: Moderate Deviations for Martingales with Bounded Jumps
Autores: Dembo, Amir; Stanford University
Fecha: 1996-01-01
Publicador: Electronic communications in probability
Fuente:
Tipo: Peer-reviewed Article

Tema: Mathematics
Moderate deviations, martingales, bounded martingale differences.
60F10, 60G44, 60G42.
Descripción: We prove that the Moderate Deviation Principle (MDP) holds for the trajectory of a locally square integrable martingale with bounded jumps as soon as its quadratic covariation, properly scaled, converges in probability at an exponential rate. A consequence of this MDP is the tightness of the method of bounded martingale differences in the regime of moderate deviations.
Idioma: Inglés

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