状态依赖强度跳跃扩散过程的渐近推断

Asymptotic Inference for Jump Diffusions with State‐Dependent Intensity

Scandinavian Journal of Statistics · 2015
被引 2
ABS 3

中文导读

研究了高频采样下状态依赖强度跳跃扩散过程的局部渐近正态性,证明漂移和跳跃参数的推断可自适应于可一致估计的波动率参数。

Abstract

Abstract We establish the local asymptotic normality property for a class of ergodic parametric jump‐diffusion processes with state‐dependent intensity and known volatility function sampled at high frequency. We prove that the inference problem about the drift and jump parameters is adaptive with respect to parameters in the volatility function that can be consistently estimated.

计量经济学金融数学统计推断随机过程