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math.ST2011★ 2 cited
Nonparametric Estimation of Second-Order Jump-Diffusion Model
Zheng-Yan Lin, Yu-Ping Song, Han-Chao Wang
We study the nonparametric estimators of the infinitesimal coefficients of the second-order jump-diffusion models. Under the mild conditions, we obtain the weak consistency and the…
math.ST2011
Weak Convergence to Stochastic Integrals Driven by Stable Lévy Processes
Zhengyan Lin, Hanchao Wang
We use the martingale convergence method to get the weak convergence theorem on general functionals of partial sums of independent heavy-tailed random variables. The limiting proce…