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20102023
most citedOn Convergence to Stochastic Integrals

2 citations · 6 across the 15 of their papers we have counts for

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Showing 2017Show all

6 papers · 1 filter

math.ST2017

Local Nonparametric Estimation for Second-Order Jump-Diffusion Model Using Gamma Asymmetric Kernels

Yuping Song, Hanchao Wang

This paper discusses the local linear smoothing to estimate the unknown first and second infinitesimal moments in second-order jump-diffusion model based on Gamma asymmetric kernel…

math.PR2017★ 1 cited

Discretization Error of Stochastic Iterated Integrals

Yuping Song, Hanchao Wang

In this paper, the weak convergence about the discretization error of stochastic iterated integrals in the Skorohod sense are studied, while the integrands and integrators of itera…

math.ST2017

One-step Local M-estimator for Integrated Jump-Diffusion Models

Yuping Song, Hanchao Wang

In this paper, robust nonparametric estimators, instead of local linear estimators, are adapted for infinitesimal coefficients associated with integrated jump-diffusion models to a…

math.PR2017

On Bernstein Type Inequalities for Stochastic Integrals of Multivariate Point Processes

Hanchao Wang, Zhengyan Lin, Zhonggen Su

We consider the stochastic integrals of multivariate point processes and study their concentration phenomena. In particular, we obtain a Bernstein type of concentration inequality…

math.PR2017

A Donsker-type Theorem for Log-likelihood Processes

Zhonggen Su, Hanchao Wang

Let be a complete stochastic basis, a semimartingale with predictable compensator . Consider a family of probability me…

math.PR2017

Central Limit Theorems of Local Polynomial Threshold Estimators for Diffusion Processes with Jumps

Yuping Song, Hanchao Wang

Central limit theorems play an important role in the study of statistical inference for stochastic processes. However, when the nonparametric local polynomial threshold estimator,…