ProV Logo
0

Nonparametric inference for discretely s...
Gugushvili, Shota...
Nonparametric inference for discretely sampled L\'evy processes by Gugushvili, Shota ( Author )
N.A
01-02-2012
Given a sample from a discretely observed Lévy process X = (Xt)t≥0 of the finite jump activity, the problem of nonparametric estimation of the Lévy density ρ corresponding to the process X is studied. An estimator of ρ is proposed that is based on a suitable inversion of the Lévy–Khintchine formula and a plug-in device. The main results of the paper deal with upper risk bounds for estimation of ρ over suitable classes of Lévy triplets. The corresponding lower bounds are also discussed.
-
Article
pdf
38.10 KB
English
-
MYR 1.20
-
https://projecteuclid.org/journals/annales-de-linstitut-henri-poincare-probabilites-et-statistiques/volume-48/issue-1/Nonparametric-inference-for-discretely-sampled-L%C3%A9vy-processes/10.1214/11-AIHP433.full
Share this eBook