@techreport{e7ee3ee4389a4433830c330287ec5848,
title = "On the stationarity of autoregressive neural network models",
abstract = "We analyze the asymptotic behavior of autoregressive neural network (AR-NN) processes using techniques from Markov chains and non-linear time series analysis. It is shown that standard AR-NNs without shortcut connections are asymptotically stationary. If linear shortcut connections are allowed, only the shortcut weights determine whether the overall system is stationary, hence standard conditions for linear AR processes can be used.",
author = "Friedrich Leisch and Adrian Trapletti and Kurt Hornik",
year = "1998",
doi = "10.57938/e7ee3ee4-389a-4433-830c-330287ec5848",
language = "English",
series = "Report Series SFB {"}Adaptive Information Systems and Modelling in Economics and Management Science{"}",
number = "21",
publisher = "SFB Adaptive Information Systems and Modelling in Economics and Management Science, WU Vienna University of Economics and Business",
edition = "October 1998",
type = "WorkingPaper",
institution = "SFB Adaptive Information Systems and Modelling in Economics and Management Science, WU Vienna University of Economics and Business",
}