ADAPTIVE DENSITY ESTIMATION FOR GENERAL ARCH MODELS
一般 ARCH 模型的自适应密度估计
We consider a model Y t = σ t η t in which (σ t ) is not independent of the noise process (η t ) but σ t is independent of η t for each t . We assume that (σ t ) is stationary, and we propose an adaptive estimator of the density of ln(σ t 2 ) based on the observations Y t . Under a new dependence structure, the τ-dependency defined by Dedecker and Prieur (2005, Probability Theory and Related Fields 132, 203–236), we prove that the rates of this nonparametric estimator…