IDEAS home Printed from
   My bibliography  Save this paper

Mixed autoregressive-moving average multivariate processes with time-dependent coefficients


  • Marc Hallin


Conditions for mixed autoregressive-moving average processes with time-dependent coefficients to be purely nondeterministic and invertible can be obtained from classical difference equations theory. These conditions involve one-sided Green's functions or their matricial equivalents. A recursive computation of these functions is proposed, which allows one to drop the assumption of nondegeneracy classicaly made about the highest order matrix of difference operators; it constitutes thus a generalized definition of these functions.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Marc Hallin, 1978. "Mixed autoregressive-moving average multivariate processes with time-dependent coefficients," ULB Institutional Repository 2013/1987, ULB -- Universite Libre de Bruxelles.
  • Handle: RePEc:ulb:ulbeco:2013/1987

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    1. Mario Calderini & Giuseppe Scellato, 2004. "Intellectual property rights as strategic assets: the case of european patent opposition in the telecommunication industry," KITeS Working Papers 158, KITeS, Centre for Knowledge, Internationalization and Technology Studies, Universita' Bocconi, Milano, Italy, revised Jul 2004.
    2. Michele Cincera & Bruno van Pottelsberghe de la Potterie & Veugelers Reinhilde, 2006. "Assessing the foreign control of production of technology: The case of a small open economy," Scientometrics, Springer;Akadémiai Kiadó, vol. 66(3), pages 493-512, March.
    3. Graham, Stuart J. H. & Hall, Bronwyn H. & Harhoff, Dietmar & Mowery, David C., 2002. "Post-Issue Patent "Quality Control": A Comparative Study of US Patent Re-Examinations and European Patent Oppositions," Department of Economics, Working Paper Series qt2qt097bd, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    4. repec:fth:harver:1473 is not listed on IDEAS
    5. Jean Lanjouw & Josh Lerner, 1998. "The Enforcement of Intellectual Property Rights: A Survey of the Empirical Literature," Annals of Economics and Statistics, GENES, issue 49-50, pages 223-246.
    6. Zvi Griliches, 1998. "Patent Statistics as Economic Indicators: A Survey," NBER Chapters,in: R&D and Productivity: The Econometric Evidence, pages 287-343 National Bureau of Economic Research, Inc.
    7. Henri Capron & Michele Cincera, 1999. "Strengths and weaknesses of the Flemish innovation system: an external viewpoint," ULB Institutional Repository 2013/937, ULB -- Universite Libre de Bruxelles.
    8. Wesley M. Cohen & Richard R. Nelson & John P. Walsh, 2000. "Protecting Their Intellectual Assets: Appropriability Conditions and Why U.S. Manufacturing Firms Patent (or Not)," NBER Working Papers 7552, National Bureau of Economic Research, Inc.
    9. Harhoff, Dietmar & Reitzig, Markus, 2004. "Determinants of opposition against EPO patent grants--the case of biotechnology and pharmaceuticals," International Journal of Industrial Organization, Elsevier, vol. 22(4), pages 443-480, April.
    10. Michele Cincera & Henri Capron, 2000. "Technological Performance," ULB Institutional Repository 2013/147109, ULB -- Universite Libre de Bruxelles.
    11. Michele Cincera, 2005. "The link between firms' R&D by type of activity and source of funding and the decision to patent," DULBEA Working Papers 05-10.RS, ULB -- Universite Libre de Bruxelles.
    12. Harhoff, Dietmar & Scherer, Frederic M. & Vopel, Katrin, 2003. "Citations, family size, opposition and the value of patent rights," Research Policy, Elsevier, vol. 32(8), pages 1343-1363, September.
    Full references (including those not matched with items on IDEAS)


    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.

    Cited by:

    1. Dahlhaus, R., 1996. "On the Kullback-Leibler information divergence of locally stationary processes," Stochastic Processes and their Applications, Elsevier, vol. 62(1), pages 139-168, March.
    2. M. Shelton Peiris & Manabu Asai, 2016. "Generalized Fractional Processes with Long Memory and Time Dependent Volatility Revisited," Econometrics, MDPI, Open Access Journal, vol. 4(3), pages 1-21, September.
    3. Alj, Abdelkamel & Jónasson, Kristján & Mélard, Guy, 2016. "The exact Gaussian likelihood estimation of time-dependent VARMA models," Computational Statistics & Data Analysis, Elsevier, vol. 100(C), pages 633-644.
    4. Robinson, Peter, 2007. "On discrete sampling of time-varying continuous-time systems," LSE Research Online Documents on Economics 6795, London School of Economics and Political Science, LSE Library.
    5. Peter Robinson, 2007. "On Discrete Sampling Of Time-Varyingcontinuous-Time Systems," STICERD - Econometrics Paper Series 520, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    6. Rajae Azrak & Guy Melard, 1998. "The exact quasi-likelihood of time dependent ARMA models," ULB Institutional Repository 2013/13740, ULB -- Universite Libre de Bruxelles.

    More about this item


    Access and download statistics


    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:ulb:ulbeco:2013/1987. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Benoit Pauwels). General contact details of provider: .

    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.

    We have no references for this item. You can help adding them by using 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.