On Higher-Order Stationarity of Doubly Stochastic Time Series AR-MA Models
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Graphical Abstract
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Abstract
In the paper, we discuss the necessary and sufficient conditions for the existence of the higher-order (4th-order, 8th-order and general 2in-th order) stationary solutions to the doubly stochastic time series AR(1)-MA(q) models, which are essential for discussing the moment estimation of the model parameters and the asymptotic properties of the sample moment estimators.
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