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Bauer, Dietmar ; Matuschek, Lukas; de Matos Ribeiro, Patrick; Wagner, Martin: A Parameterization of Models for Unit Root Processes: Structure Theory and Hypothesis Testing. In: Econometrics. Jg.8 H. 4. 2020
Inhalt
Vector Autoregressive, Vector Autoregressive Moving Average Processes and Parameterizations
The Canonical Form and the Parameterization
The Parameterization in the MFI(1) Case
The Parameterization in the I(2) Case
The Parameterization in the General Case
The Topological Structure
The Closure of in n
The Closure of S,p
The Closure of
The Conformable Index Set and the Closure of
The Closure of M
Testing Commonly Used Hypotheses in the MFI(1) and I(2) Cases
The MFI(1) Case
Testing Hypotheses on the State Space Unit Root Structure
Testing Hypotheses on CIVs and PCIVs
Testing Hypotheses on the Adjustment Coefficients
Restrictions on the Deterministic Components
The I(2) Case
Testing Hypotheses on the State Space Unit Root Structure
Testing Hypotheses on CIVs and PCIVs
Testing Hypotheses on the Adjustment Coefficients
Restrictions on the Deterministic Components
Summary and Conclusions
Proofs of the Results of Section 3
Proof of Lemma 1
Proof of Lemma 2
Proof of Theorem 2
Proofs of the Results of Section 4
Proof of Theorem 3
Proof of Theorem 4
Proof of Theorem 5
References