Al-Sadoon, M. M. (2018). The linear systems approach to linear rational expectations models. Econometric Theory, 34(03), 628–658.
- Al-Sadoon, M. M. (2019). Sims vs. Onatski. last modified October 25, 2019, https://majidalsadoon.wordpress.com/2019/10/25/sims-vs-onatski/.
Paper not yet in RePEc: Add citation now
Al-Sadoon, M. M. (2020). Regularized solutions to linear rational expectations models. mimeo.
Al-Sadoon, M. M. & Zwiernik, P. (2019). The identification problem for linear rational expectations models. arXiv preprint arXiv:1908.09617.
- Anderson, B. (1985). Continuity of the spectral factorization operation. Mat. Apl. Comput, 4(2), 139–156.
Paper not yet in RePEc: Add citation now
- Arnold, V. I. (1973). Ordinary Differential Equations. Cambridge, USA: MIT Press.
Paper not yet in RePEc: Add citation now
- Baggio, G. & Ferrante, A. (2016). On the factorization of rational discrete-time spectral densities. IEEE Transactions on Automatic Control, 61(4), 969–981.
Paper not yet in RePEc: Add citation now
Bianchi, F. & Nicolò, G. (2019). A Generalized Approach to Indeterminacy in Linear Rational Expectations Models.
- Bingham, N. (2012b). Szegs theorem and its probabilistic descendants. Probab. Surveys, 9, 287–324.
Paper not yet in RePEc: Add citation now
- Brockwell, P. J. & Davis, R. A. (1991). Time Series: Theory and Methods, 2nd Edition. New York, NY. USA: Springer.
Paper not yet in RePEc: Add citation now
Broze, L., Gourieroux, C., & Szafarz, A. (1985). Solutions of linear rational expectations models. Econometric Theory, 1(3), 341–368.
Broze, L., Gouriroux, C., & Szafarz, A. (1995). Solutions of multivariate rational expectations models. Econometric Theory, 11, 229–257.
- Canova, F. (2011). Methods for Applied Macroeconomic Research. Princeton, USA: Princeton University Press.
Paper not yet in RePEc: Add citation now
Christiano, L. J. & Vigfusson, R. J. (2003). Maximum likelihood in the frequency domain: the importance of time-to-plan. Journal of Monetary Economics, 50(4), 789 – 815.
- Clancey, K. F. & Gohberg, I. (1981). Factorization of Matrix Functions and Singular Integral Operators. Operator Theory: Advances and Applications (Vol. 3). Boston, USA: Birkhäuser Verlag Basel.
Paper not yet in RePEc: Add citation now
- Cox, D., Little, J., & O’Shea, D. (2015). Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. Undergraduate Texts in Mathematics. Springer International Publishing.
Paper not yet in RePEc: Add citation now
- CrameÃŒÂr, H. (1940). On the theory of stationary random Processes. Annals of Mathematics, 41, 215–230.
Paper not yet in RePEc: Add citation now
- CrameÃŒÂr, H. (1942). On harmonic analysis in certain functional Spaces. Arkiv Math. Astr. Fysik., 28B(12), 17.
Paper not yet in RePEc: Add citation now
- Deistler, M. & Pötscher, B. M. (1984). The behaviour of the likelihood function for ARMA models. Advances in applied probability, 16(4), 843–866.
Paper not yet in RePEc: Add citation now
DeJong, D. & Dave, C. (2011). Structural Macroeconometrics: (Second Edition). Princeton, USA: Princeton University Press.
- Ephremidze, L., Shargorodsky, E., & Spitkovsky, I. (2020). Quantitative results on continuity of the spectral factorization mapping. Journal of the London Mathematical Society, 101(1), 60–81.
Paper not yet in RePEc: Add citation now
- Farmer, R. E. A. (1999). Macroeconomics of Self-fulfilling Prophecies (2 ed.). Cambridge, MA, USA: MIT University Press.
Paper not yet in RePEc: Add citation now
Farmer, R. E., Khramov, V., & Nicolò, G. (2015). Solving and estimating indeterminate DSGE models. Journal of Economic Dynamics and Control, 54(C), 17–36.
- Finance and Economics Discussion Series 2019-033, Board of Governors of the Federal Reserve System (U.S.). Bingham, N. (2012a). Multivariate prediction and matrix szeg theory. Probab. Surveys, 9, 325–339.
Paper not yet in RePEc: Add citation now
Funovits, B. (2017). The full set of solutions of linear rational expectations models. Economics Letters, 161, 47 – 51.
Funovits, B. (2020). The dimension of the set of causal solutions of linear multivariate rational expectations models.
- Gohberg, I. C. & Fel’dman, I. A. (1974). Convolution Equations and Projection Methods for Their Solution, volume 41 of Translations of Mathematical Monographs. Providence, USA: American Mathematical Society.
Paper not yet in RePEc: Add citation now
- Gohberg, I., Goldberg, S., & Kaashoek, M. A. (2003). Basic Classes of Linear Operators. Basel: Berkäuser Verlag.
Paper not yet in RePEc: Add citation now
- Gohberg, I., Kaashoek, M. A., & Spitkovsky, I. M. (2003). An overview of matrix factorization theory and operator applications. In I. Gohberg, N. Manojlovic, & A. F. dos Santos (Eds.), Factorization and Integrable Systems: Summer School in Faro, Portugal, September 2000, volume 141 of Operator Theory: Advances and Applications chapter 1, (pp. 1–102). Springer Basel AG.
Paper not yet in RePEc: Add citation now
- Green, M. & Anderson, B. D. (1987). On the continuity of the Wiener-Hopf factorization operation. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 28(4), 443461.
Paper not yet in RePEc: Add citation now
- Groetsch, C. (1977). Generalized Inverses of Linear Operators: Representation and Approximation. Monographs and Textbooks in Pure and Applied Mathematics. New York, USA: Marcel Dekker, Inc.
Paper not yet in RePEc: Add citation now
- Hannan, E. J. (1973). The asymptotic theory of linear time-series models. Journal of Applied Probability, 10(1), 130–145.
Paper not yet in RePEc: Add citation now
- Hannan, E. J. & Deistler, M. (2012). The Statistical Theory of Linear Systems. Classics in Applied Mathematics. Philadelphia, PA, USA: SIAM.
Paper not yet in RePEc: Add citation now
Hansen, L. P. & Sargent, T. J. (1980). Formulating and estimating dynamic linear rational expectations models. Journal of Economic Dynamics and control, 2, 7–46.
Herbst, E. P. & Schorfheide, F. (2016). Bayesian Estimation of DSGE Models. Princeton, USA: Princeton University Press.
Jurado, K. & Chahrour, R. (2018). Recoverability. 2018 Meeting Papers 320, Society for Economic Dynamics.
Kociecki, A. & Kolasa, M. (2018). Global identification of linearized DSGE models. Quantitative Economics, 9(3), 1243–1263.
- Koliha, J. J. (2001). Continuity and differentiability of the Moore-Penrose inverse in C*-algebras. Mathematica Scandinavica, 88(1), 154–160.
Paper not yet in RePEc: Add citation now
- Kolmogorov, A. N. (1939). Sur linterpolation et extrapolation des suites stationnaires. CR Acad. Sci. Paris, 208, 2043–2045.
Paper not yet in RePEc: Add citation now
- Kolmogorov, A. N. (1941a). Interpolation and extrapolation of stationary random sequences. Izv. Akad Nauk SSSR. Ser. Mat., 5, 3–14.
Paper not yet in RePEc: Add citation now
- Kolmogorov, A. N. (1941b). Stationary sequences in hilbert space. Bull. Math. Univ. Moscow, 2(6), 1–40.
Paper not yet in RePEc: Add citation now
Komunjer, I. & Ng, S. (2011). Dynamic identification of dynamic stochastic general equilibrium models. Econometrica, 79(6), 1995–2032.
- Lindquist, A. & Picci, G. (2015). Linear Stochastic Systems: A Geometric Approach to Modeling, Estimation, and Identification. Series in Contemporary Mathematics 1. Berlin Heidelberg: Springer-Verlag.
Paper not yet in RePEc: Add citation now
Lippi, M. & Reichlin, L. (1994). VAR analysis, nonfundamental representations, Blaschke matrices. Journal of Econometrics, 63(1), 307–325.
Lubik, T. A. & Schorfheide, F. (2003). Computing sunspot equilibria in linear rational expectations models. Journal of Economic Dynamics and Control, 28(2), 273 – 285.
Lubik, T. A. & Schorfheide, F. (2004). Testing for indeterminacy: An application to u.s. monetary policy. American Economic Review, 94(1), 190–217.
McCallum, B. T. (1983). On non-uniqueness in rational expectations models: an attempt at perspective. Journal of Monetary Economics, 11(2), 139 – 168.
- Nikolski, N. K. (2002). Operators, Functions, and Systems: An Easy Reading: Volume 1: Hardy, Hankel, and Toeplitz, volume 92 of Mathematical Surveys and Monographs. Providence, RI, USA: American Mathematical Society.
Paper not yet in RePEc: Add citation now
Onatski, A. (2006). Winding number criterion for existence and uniqueness of equilibrium in linear rational expectations models. Journal of Economic Dynamics and Control, 30(2), 323–345.
- Pourahmadi, M. (2001). Foundations of Time Series Analysis and Prediction Theory. New York, USA: John Wiley & Sons.
Paper not yet in RePEc: Add citation now
Qu, Z. & Tkachenko, D. (2012). Identification and frequency domain quasi-maximum likelihood estimation of linearized dynamic stochastic general equilibrium models. Quantitative Economics, 3(1), 95–132.
Qu, Z. & Tkachenko, D. (2017). Global identification in DSGE models allowing for indeterminacy. The Review of Economic Studies, 84(3), 1306–1345.
- Rogosin, S. & Mishuris, G. (2016). Constructive methods for factorization of matrix-functions. IMA Journal of Applied Mathematics, 81(2), 365–391.
Paper not yet in RePEc: Add citation now
- Rozanov, Y. A. (1967). Stationary Random Processes. San Francisco: Holden-Day.
Paper not yet in RePEc: Add citation now
Sala, L. (2015). DSGE models in the frequency domains. Journal of Applied Econometrics, 30(2), 219–240.
- Sargent, T. J. (1979). Macroeconomic theory. New York, USA: Academic Press.
Paper not yet in RePEc: Add citation now
Sims, C. A. (2002). Solving linear rational expectations models. Computational Economics, 20(1), 1–20.
- Sims, C. A. (2007). On the genericity of the winding number criterion for linear rational expectations models. mimeo.
Paper not yet in RePEc: Add citation now
- Sontag, E. D. (1998). Mathematical Control Theory: Deterministic Finite Dimensional Systems (2 ed.). Texts in Applied Mathematics. Springer Verlag. Available at: www.math.rutgers.edu/∼sontag/.
Paper not yet in RePEc: Add citation now
- Sorge, M. (2019). Arbitrary initial conditions and the dimension of indeterminacy in linear rational expectations models. Decisions in Economics and Finance, 43, 363372.
Paper not yet in RePEc: Add citation now
Sundaram, R. K. (1996). A First Course in Optimization Theory. Cambridge, UK: Cambridge University Press.
- Tan, F. (2019). A frequency-domain approach to dynamic macroeconomic models. Macroeconomic Dynamics, 131.
Paper not yet in RePEc: Add citation now
Tan, F. & Walker, T. B. (2015). Solving generalized multivariate linear rational expectations models. Journal of Economic Dynamics and Control, 60, 95–111.
Taylor, J. B. (1977). Conditions for unique solutions in stochastic macroeconomic models with rational expectations.
- Whiteman, C. H. (1983). Linear Rational Expectations Models: A User’s Guide. Minneapolis, MN, USA: University of Minnesota Press.
Paper not yet in RePEc: Add citation now
- Wiener, N. & Hopf, E. (1931). Über eine klasse singulärer integralgleichungen. S.-B. Akad. Wiss. Berlin, 31, 696–706.
Paper not yet in RePEc: Add citation now
- Wold, H. (1938). A Study in the Analysis of Stationary Time Series. Uppsala: Almqvist and Wiksell.
Paper not yet in RePEc: Add citation now