Stability of Densities for Perturbed Diffusions and Markov Chains∗∗

Author: Konakov Valentin   Kozhina Anna   Menozzi Stéphane  

Publisher: Edp Sciences

E-ISSN: 1262-3318|21|issue|88-112

ISSN: 1292-8100

Source: ESAIM: Probability and Statistics, Vol.21, Iss.issue, 2017-03, pp. : 88-112

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Abstract

We study the sensitivity of the densities of non degenerate diffusion processes and related Markov Chains with respect to a perturbation of the coefficients. Natural applications of these results appear in models with misspecified coefficients or for the investigation of the weak error of the Euler scheme with irregular coefficients.