IDEAS home Printed from https://ideas.repec.org/a/spr/stmapp/v24y2015i4p651-669.html
   My bibliography  Save this article

Reconciliation of systems of time series according to a growth rates preservation principle

Author

Listed:
  • Tommaso Fonzo
  • Marco Marini

Abstract

We propose new simultaneous and two-step procedures for reconciling systems of time series subject to temporal and contemporaneous constraints according to a growth rates preservation (GRP) principle. The techniques exploit the analytic gradient and Hessian of the GRP objective function, making full use of all the derivative information at disposal. We apply the new GRP procedures to two systems of economic series, and compare the results with those of reconciliation procedures based on the proportional first differences (PFD) principle, widely used by data-producing agencies. Our experiments show that (1) the nonlinear GRP problem can be efficiently solved through an interior-point optimization algorithm, and (2) GRP-based procedures preserve better the growth rates than PFD solutions, especially for series with high temporal discrepancy and high volatility. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Tommaso Fonzo & Marco Marini, 2015. "Reconciliation of systems of time series according to a growth rates preservation principle," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 24(4), pages 651-669, November.
    • Handle: RePEc:spr:stmapp:v:24:y:2015:i:4:p:651-669
    DOI: 10.1007/s10260-015-0322-y
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10260-015-0322-y
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10260-015-0322-y?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. J. Joseph Beaulieu & Eric J. Bartelsman, 2006. "Integrating Expenditure and Income Data: What to Do with the Statistical Discrepancy?," NBER Chapters, in: A New Architecture for the US National Accounts, pages 309-354, National Bureau of Economic Research, Inc.
    2. B. Quenneville & F. Picard & S. Fortier, 2013. "Calendarization with interpolating splines and state space models," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 62(3), pages 371-399, May.
    3. Tommaso Di Fonzo & Marco Marini, 2011. "Simultaneous and two‐step reconciliation of systems of time series: methodological and practical issues," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 60(2), pages 143-164, March.
    4. Quenneville, B. & Fortier, S. & Gagné, C., 2009. "A non-parametric iterative smoothing method for benchmarking and temporal distribution," Computational Statistics & Data Analysis, Elsevier, vol. 53(9), pages 3386-3396, July.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Baoline Chen & Tommaso Di Fonzo & Thomas Howells & Marco Marini, 2018. "The statistical reconciliation of time series of accounts between two benchmark revisions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 72(4), pages 533-552, November.

    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. Corrado Carol & Lengermann Paul & Beaulieu J. Joseph & Bartelsman Eric J., 2007. "Sectoral Productivity in the United States: Recent Developments and the Role of IT," German Economic Review, De Gruyter, vol. 8(2), pages 188-210, May.
    2. Umed Temursho, 2018. "Entropy‐based benchmarking methods," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 72(4), pages 421-446, November.
    3. Tucker McElroy, 2018. "Seasonal adjustment subject to accounting constraints," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 72(4), pages 574-589, November.
    4. Baoline Chen & Tommaso Di Fonzo & Thomas Howells & Marco Marini, 2018. "The statistical reconciliation of time series of accounts between two benchmark revisions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 72(4), pages 533-552, November.
    5. Hyndman, Rob J. & Lee, Alan J. & Wang, Earo, 2016. "Fast computation of reconciled forecasts for hierarchical and grouped time series," Computational Statistics & Data Analysis, Elsevier, vol. 97(C), pages 16-32.
    6. Baoline Chen & Tommaso Di Fonzo & Thomas Howells & Marco Marini, 2014. "The Statistical Reconciliation of Time Series of Accounts after a Benchmark Revision," BEA Working Papers 0117, Bureau of Economic Analysis.
    7. Homesh Sayal & John A. D. Aston & Duncan Elliott & Hernando Ombao, 2017. "An introduction to applications of wavelet benchmarking with seasonal adjustment," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(3), pages 863-889, June.
    8. Klaus Abberger & Michael Graff & Oliver Müller & Boriss Siliverstovs, 2023. "Imputing Monthly Values for Quarterly Time Series: An Application Performed with Swiss Business Cycle Data," Journal of Business Cycle Research, Springer;Centre for International Research on Economic Tendency Surveys (CIRET), vol. 19(3), pages 241-273, November.
    9. Marta Crispino & Vincenzo Mariani, 2023. "A tool to nowcast tourist overnight stays with payment data and complementary indicators," Questioni di Economia e Finanza (Occasional Papers) 746, Bank of Italy, Economic Research and International Relations Area.
    10. Athanasopoulos, George & Hyndman, Rob J. & Kourentzes, Nikolaos & Panagiotelis, Anastasios, 2024. "Forecast reconciliation: A review," International Journal of Forecasting, Elsevier, vol. 40(2), pages 430-456.
    11. Baoline Chen, 2006. "A Balanced System of Industry Accounts for the U.S. and Structural Distribution of Statistical Discrepancy," BEA Papers 0070, Bureau of Economic Analysis.
    12. Danny Pfeffermann & Anna Sikov & Richard Tiller, 2014. "Single- and two-stage cross-sectional and time series benchmarking procedures for small area estimation," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(4), pages 631-666, December.
    13. Enrique M. Quilis, 2018. "Temporal disaggregation of economic time series: The view from the trenches," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 72(4), pages 447-470, November.
    14. Suad Elezović & Yingfu Xie, 2018. "Reconciliation of seasonally adjusted data with applications to the Swedish quarterly national accounts," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 72(4), pages 590-602, November.
    15. Bikker Reinier & van den Brakel Jan & Krieg Sabine & Ouwehand Pim & van der Stegen Ronald, 2019. "Consistent Multivariate Seasonal Adjustment for Gross Domestic Product and its Breakdown in Expenditures," Journal of Official Statistics, Sciendo, vol. 35(1), pages 9-30, March.
    16. repec:bla:germec:v:8:y:2007:i::p:188-210 is not listed on IDEAS
    17. Baoline Chen, 2012. "A Balanced System of U.S. Industry Accounts and Distribution of the Aggregate Statistical Discrepancy by Industry," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(2), pages 202-211, February.
    18. Ricci L. Reber & Sarah J. Pack, 2014. "Methods of Temporal Disaggregation for Estimating Output of the Insurance Industry," BEA Working Papers 0115, Bureau of Economic Analysis.

    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:spr:stmapp:v:24:y:2015:i:4:p:651-669. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.