Stationarity and ergodicity of vector STAR models

• Tác giả: Igor L Kheifets, Pentti J Saikkonen
• Ngôn ngữ: eng
• Ký hiệu phân loại: 523.84 Aggregations and variable stars
• Thông tin xuất bản: 2018
• Bộ sưu tập: Metadata
• ID: 161958

Tóm tắt

Comment: Accepted to Econometric ReviewsSmooth transition autoregressive models are widely used to capture nonlinearities in univariate and multivariate time series. Existence of stationary solution is typically assumed, implicitly or explicitly. In this paper we describe conditions for stationarity and ergodicity of vector STAR models. The key condition is that the joint spectral radius of certain matrices is below 1, which is not guaranteed if only separate spectral radii are below 1. Our result allows to use recently introduced toolboxes from computational mathematics to verify the stationarity and ergodicity of vector STAR models.