Título: On the one-sided exit problem for fractional Brownian motion
Autores: Aurzada, Frank; Technische Universität Berlin
Fecha: 2011-01-01
Publicador: Electronic communications in probability
Fuente:
Tipo: Peer-reviewed Article

Tema: First passage time; fractional Brownian motion; lower tail probability; one-sided barrier problem; one-sided exit problem; small value probability; survival exponent
60G22; (60G15, 60G18).
Descripción: We consider the one-sided exit problem for fractional Brownian motion (FBM), which is equivalent to the question of the distribution of the lower tail of the maximum of FBM on the unit interval. We improve the bounds given by Molchan (1999) and shed some light on the relation to the quantity I studied there.
Idioma: No aplica

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