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Titlebook: State Space Modeling of Time Series; Masanao Aoki Book 19871st edition Springer-Verlag Berlin Heidelberg 1987 Instrumental variables.Instr

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Kalman Filters,to introduce a particular way of summarizing information contained in a data set as an output of a Kalman filter, a topic also elaborated upon in Chapter 8. Finally, this chapter introduces a non-recursive method for solving the matrix Riccati equation needed to determine the optimal filter gain mat
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Computation of System Matrices,sions of the models are determined by the numerical ranks of the Hankel matrices constructed from the sample covariance matrices of data sets. In this way the dimensions of the models are data determined. Among equivalent representations of models of given dimensions, the one called (intenally) bala
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Approximate Models and Error Analysis, In the frequency domain, rational transfer functions of the models are best viewed as approximations to more complex rational, or possibly irrational, transfer functions. In the time domain, finite-dimensional state space (innovation) models merely approximate dynamic phenomena of greater complexit
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Numerical Examples,tes of America, the United Kingdom, West Germany, and Japan. Actual macroeconomic time series used in model construction are described in the data appendix. Small scale examples are presented first. Some of the models constructed by the method of this book are also compared with the vector autoregre
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