Asymptotic properties of nearly unstable multivariate autoregressive processes

Asymptotic properties of nearly unstable multivariate autoregressive processes

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Article ID: iaor2000586
Country: United Kingdom
Volume: 37
Issue: 2
Start Page Number: 11
End Page Number: 19
Publication Date: Jan 1999
Journal: Computers & Mathematics with Applications
Authors: ,
Keywords: ARIMA processes
Abstract:

Nearly unstable multidimensional autoregressive models are studied where the coefficient matrices are given in Jordan normal form. Weak convergence of the sequence of the appropriately normalized least squares estimates of the coefficient matrices is proved. A natural connection between the discrete and the corresponding continuous time models is presented.

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