Large deviation principle for an estimator of the diffusion coefficient in a jump diffusion process

ABSTRACT: We consider a jump-diffusion Levy model, which is often used in financial and risk theory applications. Using discrete observations of the process, we consider a threshold estimator of the diffusion coefficient, and we show that it satisfies a large deviation principle. That gives us both the strong consistency of the estimator and an accurate measure of the estimation error. Rivista di classe 4 per il GEV Area 1 del VQR 2004-2010