Non-parametric estimation for a pure-jump Lévy process

Author:

Cai Chunhao,Guo Junyi,You Honglong

Abstract

AbstractIn this paper, we propose an estimator of the survival probability for a Lévy risk model observed at low frequency. The estimator is constructed via a regularised version of the inverse of the Laplace transform. The convergence rate of the estimator in a sense of the integrated squared error is studied for large sample size. Simulation studies are also given to show the finite sample performance of our estimator.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,Economics and Econometrics,Statistics and Probability

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