IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v159y2022ics0960077922003046.html
   My bibliography  Save this article

Model transform and local parameters. Application to instantaneous attractors

Author

Listed:
  • Galadí, J.A.
  • Soler-Toscano, F.
  • Langa, J.A.

Abstract

The model transform fits exactly the parameters of a suitable model to empirical or simulated data in each point in time and/or space. We describe several examples of concrete model transforms and their applications. The model transform allows simple theoretical models to be applied to complex empirical systems in each short interval of time or/and in each local neighborhood. The model can be chosen to identify, for instance, the temporal evolution of the attractor landscape for empirical systems which depict a complex dynamics over time.

Suggested Citation

  • Galadí, J.A. & Soler-Toscano, F. & Langa, J.A., 2022. "Model transform and local parameters. Application to instantaneous attractors," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003046
    DOI: 10.1016/j.chaos.2022.112094
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922003046
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112094?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. R. Saigal, 1977. "On the Convergence Rate of Algorithms for Solving Equations that are Based on Methods of Complementary Pivoting," Mathematics of Operations Research, INFORMS, vol. 2(2), pages 108-124, May.
    2. Cooley, Thomas F & Prescott, Edward C, 1973. "Tests of an Adaptive Regression Model," The Review of Economics and Statistics, MIT Press, vol. 55(2), pages 248-256, May.
    3. Cooley, Thomas F & Prescott, Edward C, 1973. "An Adaptive Regression Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 364-371, June.
    4. Cooley, Thomas F & Prescott, Edward C, 1976. "Estimation in the Presence of Stochastic Parameter Variation," Econometrica, Econometric Society, vol. 44(1), pages 167-184, January.
    5. R. Saigal, 1983. "A Homotopy for Solving Large, Sparse and Structured Fixed Point Problems," Mathematics of Operations Research, INFORMS, vol. 8(4), pages 557-578, November.
    6. M. Seetharama Gowda & Jong-Shi Pang, 1992. "On Solution Stability of the Linear Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 77-83, February.
    7. G. Guerrero & J. A. Langa & A. Suárez, 2016. "Attracting Complex Networks," Lecture Notes in Economics and Mathematical Systems, in: Pasquale Commendatore & Mariano Matilla-García & Luis M. Varela & Jose S. Cánovas (ed.), Complex Networks and Dynamics, pages 309-327, Springer.
    8. Francisco J Esteban & Javier A Galadí & José A Langa & José R Portillo & Fernando Soler-Toscano, 2018. "Informational structures: A dynamical system approach for integrated information," PLOS Computational Biology, Public Library of Science, vol. 14(9), pages 1-33, September.
    9. R. Saigal & M.J. Todd, 1976. "Efficient Acceleration Techniques for Fixed Point Algorithms," Discussion Papers 261, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    10. Tucci, Marco P., 1995. "Time-varying parameters: a critical introduction," Structural Change and Economic Dynamics, Elsevier, vol. 6(2), pages 237-260, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Min, Chung-ki, 1998. "A Gibbs sampling approach to estimation and prediction of time-varying-parameter models," Computational Statistics & Data Analysis, Elsevier, vol. 27(2), pages 171-194, April.
    2. Davide Delle Monache & Ivan Petrella, 2014. "Adaptive Models and Heavy Tails," Working Papers 720, Queen Mary University of London, School of Economics and Finance.
    3. Delle Monache, Davide & Petrella, Ivan, 2017. "Adaptive models and heavy tails with an application to inflation forecasting," International Journal of Forecasting, Elsevier, vol. 33(2), pages 482-501.
    4. Arrau, Patricio & De Gregorio, Jose & Reinhart, Carmen M. & Wickham, Peter, 1995. "The demand for money in developing countries: Assessing the role of financial innovation," Journal of Development Economics, Elsevier, vol. 46(2), pages 317-340, April.
    5. Evans, George W. & Ramey, Garey, 2006. "Adaptive expectations, underparameterization and the Lucas critique," Journal of Monetary Economics, Elsevier, vol. 53(2), pages 249-264, March.
    6. Donald T. Sant, 1977. "Generalized Least Squares Applied to Time Varying Parameter Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 6, number 3, pages 301-314, National Bureau of Economic Research, Inc.
    7. Jean-Louis COMBES & Rasmané OUEDRAOGO, 2014. "Does Pro-cyclical Aid Lead to Pro-cyclical Fiscal Policy? An Empirical Analysis for Sub-Saharan Africa," Working Papers 201424, CERDI.
    8. James H. Stock & Mark W. Watson, 1996. "Asymptotically Median Unbiased Estimation of Coefficient Variance in a Time Varying Parameter Model," NBER Technical Working Papers 0201, National Bureau of Economic Research, Inc.
    9. Orbe, Susan & Ferreira, Eva & Rodriguez-Poo, Juan, 2005. "Nonparametric estimation of time varying parameters under shape restrictions," Journal of Econometrics, Elsevier, vol. 126(1), pages 53-77, May.
    10. Stock, James H & Watson, Mark W, 1996. "Evidence on Structural Instability in Macroeconomic Time Series Relations," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(1), pages 11-30, January.
    11. Bakhodir A Ergashev, 2004. "Sequential Detection of US Business Cycle Turning Points: Performances of Shiryayev-Roberts, CUSUM and EWMA Procedures," Econometrics 0402001, University Library of Munich, Germany, revised 16 Mar 2004.
    12. Douglas O. Staiger & James H. Stock & Mark W. Watson, 1997. "How Precise Are Estimates of the Natural Rate of Unemployment?," NBER Chapters, in: Reducing Inflation: Motivation and Strategy, pages 195-246, National Bureau of Economic Research, Inc.
    13. Feldstein, Martin & Stock, James H., 1996. "Measuring money growth when financial markets are changing," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 3-27, February.
    14. Freebairn, John W. & Rausser, Gordon C., 1974. "Updating Parameter Estimates: A Least Squares Approach with an Application to the Inventory of Beef Cows," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 42(02), pages 1-17, June.
    15. Thomas F. Cooley & Steven J. DeCanio, 1974. "Varying-Parameter Supply Functions and the Sources of Economic Distress in American Agriculture, 1866-1914," NBER Working Papers 0057, National Bureau of Economic Research, Inc.
    16. van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 2011. "Solving discrete systems of nonlinear equations," European Journal of Operational Research, Elsevier, vol. 214(3), pages 493-500, November.
    17. Arash Hadizadeh & Ahmad Jafari Samimi & Zahra Mila Elmi, 2013. "An Estimation of Seasonal GDP Gap in Iran: Application of Adaptive Least Squares Method," Iranian Economic Review (IER), Faculty of Economics,University of Tehran.Tehran,Iran, vol. 18(1), pages 157-177, winter.
    18. Li, Gang & Song, Haiyan & Witt, Stephen F., 2006. "Time varying parameter and fixed parameter linear AIDS: An application to tourism demand forecasting," International Journal of Forecasting, Elsevier, vol. 22(1), pages 57-71.
    19. R. Saigal, 1977. "On Piecewise Linear Approximations to Smooth Mappings," Discussion Papers 311, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    20. Schlicht, Ekkehart, 2006. "VC - A Method For Estimating Time-Varying Coefficients in Linear Models," Discussion Papers in Economics 61656, University of Munich, Department of Economics.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003046. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.