Statistical inference for Levy-driven graph supOU processes: From short- to long-memory in high-dimensional time series
Lévy 驱动的图 supOU 过程统计推断:从短记忆到长记忆的高维时间序列
This article introduces Levy-driven graph supOU processes, a parsimonious parametrisation for high-dimensional time series in which dependence between components is governed by a graph structure. Specifically, the model bridges short- and long-range dependence within a single parametric family while accommodating a wide range of marginal distributions. We further develop a generalised method of moments estimator, establish its consistency and asymptotic normality, and assess…