Limiting laws for long Brownian Bridges perturbed by their one-sided maximum, III
Roynette, Bernard · Vallois, Pierre · Yor, Marc
Original · EN
Results of penalization of a one-dimensional Brownian motion (Xₜ), by its one-sided maximum (Sₜ=₀ ≤ ᵤ ≤ ₜXᵤ), which were recently obtained by the authors are improved with the consideration-in the present paper- of the asymptotic behaviour of the likewise penalized Brownian bridges of length t, as t→ ∞, or penalizations by functions of (Sₜ,Xₜ), and also the study of the speed of convergence, as t→ ∞, of the penalized distributions at time t.
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