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Improved estimates for multivariate complex-normal regression with application to analysis of linear time-invariant relationships
Authors:J. Lillest  l
Affiliation:1. University of California, BerkeleyUSA;2. The Norwegian School of Economics and Business Administration, Bergen, Norway
Abstract:The objective of this paper is the estimation of linear time-invariant relationships for a stationary vector-valued time series using the Finite Fourier Transform as the basic statistic. Since this is asymptotically complex-Normal we are led to consider models of multivariate complex-Normal regression. We propose estimates of regression matrices in the tradition of Stein (shrunken estimates) which improve upon the usual estimates. Some experience with simulated time series is reported.
Keywords:Linear time-invariant relations   finite Fourier transforms   frequency analysis   complex regression   complex-normal distribution   shrunken estimates   Stein estimates   transfer functions
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