Exit times for multivariate autoregressive processes

Brita Jung

Stochastic Processes and their Applications, 2013, vol. 123, issue 8, 3052-3063

Abstract: We study exit times from a set for a family of multivariate autoregressive processes with normally distributed noise. By using the large deviation principle, and other methods, we show that the asymptotic behavior of the exit time depends only on the set itself and on the covariance matrix of the stationary distribution of the process. The results are extended to exit times from intervals for the univariate autoregressive process of order n, where the exit time is of the same order of magnitude as the exponential of the inverse of the variance of the stationary distribution.

Keywords: Autoregressive processes; Exit times; Large deviation principle; Normal distribution (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spa.2013.03.003

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