IDEAS home Printed from https://ideas.repec.org/a/cup/etheor/v28y2012i06p1373-1391_00.html
   My bibliography  Save this article

The Correlation Structure Of Spatial Autoregressions

Author

Listed:
  • Martellosio, Federico

Abstract

This paper investigates how the correlations implied by a first-order simultaneous autoregressive (SAR(1)) process are affected by the weights matrix and the autocorrelation parameter. A graph theoretic representation of the covariances in terms of walks connecting the spatial units helps to clarify a number of correlation properties of the processes. In particular, we study some implications of row-standardizing the weights matrix, the dependence of the correlations on graph distance, and the behavior of the correlations at the extremes of the parameter space. Throughout the analysis differences between directed and undirected networks are emphasized. The graph theoretic representation also clarifies why it is difficult to relate properties of W to correlation properties of SAR(1) models defined on irregular lattices.

Suggested Citation

  • Martellosio, Federico, 2012. "The Correlation Structure Of Spatial Autoregressions," Econometric Theory, Cambridge University Press, vol. 28(6), pages 1373-1391, December.
  • Handle: RePEc:cup:etheor:v:28:y:2012:i:06:p:1373-1391_00
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S0266466612000175/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Timothy G. Conley & Sílvia Gonçalves & Min Seong Kim & Benoit Perron, 2023. "Bootstrap inference under cross‐sectional dependence," Quantitative Economics, Econometric Society, vol. 14(2), pages 511-569, May.
    2. Vainora, J., 2024. "Asymptotic Theory Under Network Stationarity," Cambridge Working Papers in Economics 2439, Faculty of Economics, University of Cambridge.
    3. Nicolás Durán & J. Paul Elhorst, 2023. "Induced earthquakes and house prices: the role of spatiotemporal and global effects," Journal of Geographical Systems, Springer, vol. 25(2), pages 157-183, April.

    More about this item

    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:cup:etheor:v:28:y:2012:i:06:p:1373-1391_00. 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.

    We have no bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/ect .

    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.