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Asymptotics in small time for the density of a stochastic differential equation driven by a stable Lévy process

Asymptotics in small time for the density of a stochastic differential equation driven by a stable Lévy process

This work focuses on the asymptotic behavior of the density in small time of a stochastic differential equation driven by a truncated α -stable process with index α ∈ (0, 2). We assume that the process depends on a parameter β = ( θ , σ ) T and we …