Tail-Aware Density Forecasting of Locally Explosive Time Series: A Neural Network Approach
局部爆炸性时间序列的尾部感知密度预测:神经网络方法
Mixed causal--noncausal (anticipative) models capture locally explosive dynamics and provide economically meaningful probabilities of continuation and collapse, but forecasting with them remains computationally difficult. We develop a two-stage framework that estimates such an ARMA model and then learns its predictive density using a Mixture Density Network with skewed-t components, tail-aware training weights, and post-hoc calibration. The approach accommodates the heavy…