IDEAS home Printed from https://ideas.repec.org/p/aah/create/2014-08.html

Specification, Estimation and Evaluation of Vector Smooth Transition Autoregressive Models with Applications

Author

Listed:
  • Timo Teräsvirta

    (Aarhus University and CREATES)

  • Yukai Yang

    (CORE, Université catholique de Louvain and CREATES)

Abstract

We consider a nonlinear vector model called the logistic vector smooth transition autoregressive model. The bivariate single-transition vector smooth transition regression model of Camacho (2004) is generalised to a multivariate and multitransition one. A modelling strategy consisting of specification, including testing linearity, estimation and evaluation of these models is constructed. Nonlinear least squares estimation of the parameters of the model is discussed. Evaluation by misspecification tests is carried out using tests derived in a companion paper. The use of the modelling strategy is illustrated by two applications. In the first one, the dynamic relationship between the US gasoline price and consumption is studied and possible asymmetries in it considered. The second application consists of modelling two well known Icelandic riverflow series, previously considered by many hydrologists and time series analysts. JEL Classification: C32, C51, C52

Suggested Citation

  • Timo Teräsvirta & Yukai Yang, 2014. "Specification, Estimation and Evaluation of Vector Smooth Transition Autoregressive Models with Applications," CREATES Research Papers 2014-08, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:create:2014-08
    as

    Download full text from publisher

    File URL: https://repec.econ.au.dk/repec/creates/rp/14/rp14_08.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. YANG, Yukai, 2014. "Testing constancy of the error covariance matrix in vector models against parametric alternatives using a spectral decomposition," LIDAM Discussion Papers CORE 2014017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Watson, Mark W & Engle, Robert F, 1985. "Testing for Regression Coefficient Stability with a Stationary AR(1) Alternative," The Review of Economics and Statistics, MIT Press, vol. 67(2), pages 341-346, May.
    3. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    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. Bollerslev, Tim & Engle, Robert F. & Nelson, Daniel B., 1986. "Arch models," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 49, pages 2959-3038, Elsevier.
    2. Lin, Chien-Fu Jeff & Terasvirta, Timo, 1999. "Testing parameter constancy in linear models against stochastic stationary parameters," Journal of Econometrics, Elsevier, vol. 90(2), pages 193-213, June.
    3. Dominik Schreyer, 2019. "Football spectator no-show behaviour in the German Bundesliga," Applied Economics, Taylor & Francis Journals, vol. 51(45), pages 4882-4901, September.
    4. S. Arunachalam & Sridhar N. Ramaswami & Pol Herrmann & Doug Walker, 2018. "Innovation pathway to profitability: the role of entrepreneurial orientation and marketing capabilities," Journal of the Academy of Marketing Science, Springer, vol. 46(4), pages 744-766, July.
    5. Jang, Heesun & Du, Xiaodong, 2013. "Price- and Policy-Induced Innovations: The Case of U.S. Biofuel," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 38(3), pages 1-13.
    6. Timothy Erickson & Toni M. Whited, 2010. "Erratum: Measurement Error and the Relationship between Investment and q," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1252-1257.
    7. Fors, Gunnar & Zejan, Mario, 1996. "Overseas R&D by Multinationals in foreign Centers of Excellence," SSE/EFI Working Paper Series in Economics and Finance 111, Stockholm School of Economics.
    8. Küçük, Ugur N., 2009. "Emerging Market Local Currency Bond Market, Too Risky to Invest?," MPRA Paper 21878, University Library of Munich, Germany.
    9. Rodrigo M. S. Moita & Claudio Paiva, 2013. "Political Price Cycles in Regulated Industries: Theory and Evidence," American Economic Journal: Economic Policy, American Economic Association, vol. 5(1), pages 94-121, February.
    10. Akbar Ullah & Ejaz Ghani & Attiya Y. Javed, 2013. "Market Power and Industrial Performance in Pakistan," PIDE-Working Papers 2013:88, Pakistan Institute of Development Economics.
    11. Lauren Bin Dong, 2004. "Testing for structural Change in Regression: An Empirical Likelihood Ratio Approach," Econometrics Working Papers 0405, Department of Economics, University of Victoria.
    12. repec:spo:wpmain:info:hdl:2441/7172 is not listed on IDEAS
    13. Butler, Marty & Leone, Andrew J. & Willenborg, Michael, 2004. "An empirical analysis of auditor reporting and its association with abnormal accruals," Journal of Accounting and Economics, Elsevier, vol. 37(2), pages 139-165, June.
    14. C, Loran & Eckbo, Espen & Lu, Ching-Chih, 2014. "Does Executive Compensation Reflect Default Risk?," UiS Working Papers in Economics and Finance 2014/11, University of Stavanger.
    15. Baiyegunhi, L.J.S. & Oppong, B.B., 2016. "Commercialisation of mopane worm (Imbrasia belina) in rural households in Limpopo Province, South Africa," Forest Policy and Economics, Elsevier, vol. 62(C), pages 141-148.
    16. Valerie Cerra & Sweta Chaman Saxena, 2008. "Growth Dynamics: The Myth of Economic Recovery," American Economic Review, American Economic Association, vol. 98(1), pages 439-457, March.
    17. Guhan Subramanian, "undated". "Post-Siliconix Freeze-Outs: Theory, Evidence & Policy," American Law & Economics Association Annual Meetings 1016, American Law & Economics Association.
    18. Fenech, Jean-Pierre & Skully, Michael & Xuguang, Han, 2014. "Franking credits and market reactions: Evidence from the Australian convertible security market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 32(C), pages 1-19.
    19. François Desmoulins-Lebeault & Jean-François Gajewski & Luc Meunier, 2018. "Personality and Risk Aversion," Economics Bulletin, AccessEcon, vol. 38(1), pages 472-489.
    20. Benjamin M. Blau & Ryan J. Whitby, 2014. "Speculative Trading In Reits," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 37(1), pages 55-74, February.
    21. Korkeamaki, Timo & Koskinen, Yrjo & Takalo, Tuomas, 2007. "Phoenix rising: Legal reforms and changes in valuations in Finland during the economic crisis," Journal of Financial Stability, Elsevier, vol. 3(1), pages 33-58, April.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:aah:create:2014-08. 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: the person in charge (email available below). General contact details of provider: http://www.econ.au.dk/afn/ .

    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.