An explicit expression for the Fisher information matrix of a multiple time series process

Open Access
Authors
Publication date 2004
Series UvA Econometrics Discussion Paper, 2004/12
Number of pages 8
Publisher Amsterdam: Department of Quantitative Economics
Organisations
  • Faculty of Economics and Business (FEB) - Amsterdam School of Economics Research Institute (ASE-RI)
Abstract The principal result in this paper is concerned with the derivative of a vector with respect to a block vector or matrix. This is applied to the asymptotic Fisher information matrix (FIM) of a stationary vector autoregressive and moving average time series process (VARMA). Representations which can be used for computing the components of the FIM are then obtained. In a related paper [1], the derivative is taken with respect to a vector. This is obtained by vectorizing the appropriate matrix products whereas in this paper the corresponding matrix products are left unchanged.
Document type Working paper
Language English
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