Abstract #301844

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JSM 2003 Abstract #301844
Activity Number: 223
Type: Invited
Date/Time: Tuesday, August 5, 2003 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #301844
Title: Identification of Kronecker Index of Multivariate Time Series with Dependent Innovations
Author(s): Wanli Min*+ and Ruey-Shiong Tsay
Companies: University of Chicago and University of Chicago
Address: 1401 E 55th St., Chicago, IL, 60615-5456,
Keywords: identifiability ; echelon form ; GARCH models ; vector ARMA models ; state-space model
Abstract:

Kronecker indices play an important role in identifying the dynamic structure of a multivariate linear time series. It solves the identifiability problem via specifying an echelon form of the model. However, in most business and economic applications, the innovations of the linear system are uncorrelated, but dependent, e.g., the existence of conditional heteroscedasticity. What are the effects of dependent innovations on the usual methods used to identify Kronecker indices? We study the impacts of dependent innovations on the theory and application of statistical methods used to identify Kronecker indices. Real and simulated examples are used to study the finite sample performance.


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